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Finding the Third Proportional to 61,117 and 129,569

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Solution

The third proportional to 61,117 and 129,569 is: 274,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,117 : 129,569 = 129,569 : x
  2. Step 2: Convert to fraction form
    61,117/129,569 = 129,569/x
  3. Step 3: Cross multiply
    61,117x = 129,569 × 129,569
  4. Step 4: Simplify right side
    61,117x = 16,788,125,761
  5. Step 5: Solve for x
    x = 16,788,125,761/61,117
  6. Step 6: Final answer
    x = 274,688.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.