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Finding the Third Proportional to 87,460 and 133,723

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Solution

The third proportional to 87,460 and 133,723 is: 204,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,460 : 133,723 = 133,723 : x
  2. Step 2: Convert to fraction form
    87,460/133,723 = 133,723/x
  3. Step 3: Cross multiply
    87,460x = 133,723 × 133,723
  4. Step 4: Simplify right side
    87,460x = 17,881,840,729
  5. Step 5: Solve for x
    x = 17,881,840,729/87,460
  6. Step 6: Final answer
    x = 204,457.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.