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Finding the Third Proportional to 87,317 and 142,731

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Solution

The third proportional to 87,317 and 142,731 is: 233,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,317 : 142,731 = 142,731 : x
  2. Step 2: Convert to fraction form
    87,317/142,731 = 142,731/x
  3. Step 3: Cross multiply
    87,317x = 142,731 × 142,731
  4. Step 4: Simplify right side
    87,317x = 20,372,138,361
  5. Step 5: Solve for x
    x = 20,372,138,361/87,317
  6. Step 6: Final answer
    x = 233,312.39

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.