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Finding the Third Proportional to 81,543 and 129,726

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Solution

The third proportional to 81,543 and 129,726 is: 206,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,543 : 129,726 = 129,726 : x
  2. Step 2: Convert to fraction form
    81,543/129,726 = 129,726/x
  3. Step 3: Cross multiply
    81,543x = 129,726 × 129,726
  4. Step 4: Simplify right side
    81,543x = 16,828,835,076
  5. Step 5: Solve for x
    x = 16,828,835,076/81,543
  6. Step 6: Final answer
    x = 206,379.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.