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Finding the Third Proportional to 157,737.38 and 221,331.23

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Solution

The third proportional to 157,737.38 and 221,331.23 is: 310,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,737.38 : 221,331.23 = 221,331.23 : x
  2. Step 2: Convert to fraction form
    157,737.38/221,331.23 = 221,331.23/x
  3. Step 3: Cross multiply
    157,737.38x = 221,331.23 × 221,331.23
  4. Step 4: Simplify right side
    157,737.38x = 48,987,515,309.96
  5. Step 5: Solve for x
    x = 48,987,515,309.96/157,737.38
  6. Step 6: Final answer
    x = 310,563.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.