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Finding the Third Proportional to 65,402.50 and 136,727

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Solution

The third proportional to 65,402.50 and 136,727 is: 285,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,402.50 : 136,727 = 136,727 : x
  2. Step 2: Convert to fraction form
    65,402.50/136,727 = 136,727/x
  3. Step 3: Cross multiply
    65,402.50x = 136,727 × 136,727
  4. Step 4: Simplify right side
    65,402.50x = 18,694,272,529
  5. Step 5: Solve for x
    x = 18,694,272,529/65,402.50
  6. Step 6: Final answer
    x = 285,834.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.