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Finding the Third Proportional to 87,456.50 and 161,772.50

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Solution

The third proportional to 87,456.50 and 161,772.50 is: 299,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,456.50 : 161,772.50 = 161,772.50 : x
  2. Step 2: Convert to fraction form
    87,456.50/161,772.50 = 161,772.50/x
  3. Step 3: Cross multiply
    87,456.50x = 161,772.50 × 161,772.50
  4. Step 4: Simplify right side
    87,456.50x = 26,170,341,756.25
  5. Step 5: Solve for x
    x = 26,170,341,756.25/87,456.50
  6. Step 6: Final answer
    x = 299,238.38

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.