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Finding the Third Proportional to 1,386,502,847,328 and 3,019,150,859,200

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Solution

The third proportional to 1,386,502,847,328 and 3,019,150,859,200 is: 6,574,290,076,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,502,847,328 : 3,019,150,859,200 = 3,019,150,859,200 : x
  2. Step 2: Convert to fraction form
    1,386,502,847,328/3,019,150,859,200 = 3,019,150,859,200/x
  3. Step 3: Cross multiply
    1,386,502,847,328x = 3,019,150,859,200 × 3,019,150,859,200
  4. Step 4: Simplify right side
    1,386,502,847,328x = 9,115,271,910,608,098,258,059,264
  5. Step 5: Solve for x
    x = 9,115,271,910,608,098,258,059,264/1,386,502,847,328
  6. Step 6: Final answer
    x = 6,574,290,076,774.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.