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Finding the Third Proportional to 87,816 and 141,420

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Solution

The third proportional to 87,816 and 141,420 is: 227,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,816 : 141,420 = 141,420 : x
  2. Step 2: Convert to fraction form
    87,816/141,420 = 141,420/x
  3. Step 3: Cross multiply
    87,816x = 141,420 × 141,420
  4. Step 4: Simplify right side
    87,816x = 19,999,616,400
  5. Step 5: Solve for x
    x = 19,999,616,400/87,816
  6. Step 6: Final answer
    x = 227,744.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.