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Finding the Third Proportional to 81,255 and 129,753

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Solution

The third proportional to 81,255 and 129,753 is: 207,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,255 : 129,753 = 129,753 : x
  2. Step 2: Convert to fraction form
    81,255/129,753 = 129,753/x
  3. Step 3: Cross multiply
    81,255x = 129,753 × 129,753
  4. Step 4: Simplify right side
    81,255x = 16,835,841,009
  5. Step 5: Solve for x
    x = 16,835,841,009/81,255
  6. Step 6: Final answer
    x = 207,197.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.