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Finding the Third Proportional to 87,438 and 191,688

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Solution

The third proportional to 87,438 and 191,688 is: 420,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,438 : 191,688 = 191,688 : x
  2. Step 2: Convert to fraction form
    87,438/191,688 = 191,688/x
  3. Step 3: Cross multiply
    87,438x = 191,688 × 191,688
  4. Step 4: Simplify right side
    87,438x = 36,744,289,344
  5. Step 5: Solve for x
    x = 36,744,289,344/87,438
  6. Step 6: Final answer
    x = 420,232.50

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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.