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Finding the Third Proportional to 30,102,344 and 45,435,640

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Solution

The third proportional to 30,102,344 and 45,435,640 is: 68,579,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102,344 : 45,435,640 = 45,435,640 : x
  2. Step 2: Convert to fraction form
    30,102,344/45,435,640 = 45,435,640/x
  3. Step 3: Cross multiply
    30,102,344x = 45,435,640 × 45,435,640
  4. Step 4: Simplify right side
    30,102,344x = 2,064,397,382,209,600
  5. Step 5: Solve for x
    x = 2,064,397,382,209,600/30,102,344
  6. Step 6: Final answer
    x = 68,579,290.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.