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Finding the Third Proportional to 68,829 and 152,397

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Solution

The third proportional to 68,829 and 152,397 is: 337,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,829 : 152,397 = 152,397 : x
  2. Step 2: Convert to fraction form
    68,829/152,397 = 152,397/x
  3. Step 3: Cross multiply
    68,829x = 152,397 × 152,397
  4. Step 4: Simplify right side
    68,829x = 23,224,845,609
  5. Step 5: Solve for x
    x = 23,224,845,609/68,829
  6. Step 6: Final answer
    x = 337,428.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.