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Finding the Third Proportional to 87,663 and 191,728.50

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Solution

The third proportional to 87,663 and 191,728.50 is: 419,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,663 : 191,728.50 = 191,728.50 : x
  2. Step 2: Convert to fraction form
    87,663/191,728.50 = 191,728.50/x
  3. Step 3: Cross multiply
    87,663x = 191,728.50 × 191,728.50
  4. Step 4: Simplify right side
    87,663x = 36,759,817,712.25
  5. Step 5: Solve for x
    x = 36,759,817,712.25/87,663
  6. Step 6: Final answer
    x = 419,331.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.