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Finding the Third Proportional to 121,502,120 and 266,083,408

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Solution

The third proportional to 121,502,120 and 266,083,408 is: 582,709,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,502,120 : 266,083,408 = 266,083,408 : x
  2. Step 2: Convert to fraction form
    121,502,120/266,083,408 = 266,083,408/x
  3. Step 3: Cross multiply
    121,502,120x = 266,083,408 × 266,083,408
  4. Step 4: Simplify right side
    121,502,120x = 70,800,380,012,894,464
  5. Step 5: Solve for x
    x = 70,800,380,012,894,464/121,502,120
  6. Step 6: Final answer
    x = 582,709,009.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.