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Finding the Third Proportional to 84,510 and 129,909

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Solution

The third proportional to 84,510 and 129,909 is: 199,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,510 : 129,909 = 129,909 : x
  2. Step 2: Convert to fraction form
    84,510/129,909 = 129,909/x
  3. Step 3: Cross multiply
    84,510x = 129,909 × 129,909
  4. Step 4: Simplify right side
    84,510x = 16,876,348,281
  5. Step 5: Solve for x
    x = 16,876,348,281/84,510
  6. Step 6: Final answer
    x = 199,696.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.