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Finding the Third Proportional to 84,854 and 129,081

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Solution

The third proportional to 84,854 and 129,081 is: 196,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,854 : 129,081 = 129,081 : x
  2. Step 2: Convert to fraction form
    84,854/129,081 = 129,081/x
  3. Step 3: Cross multiply
    84,854x = 129,081 × 129,081
  4. Step 4: Simplify right side
    84,854x = 16,661,904,561
  5. Step 5: Solve for x
    x = 16,661,904,561/84,854
  6. Step 6: Final answer
    x = 196,359.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.