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Finding the Third Proportional to 90,432.56 and 123,921.56

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Solution

The third proportional to 90,432.56 and 123,921.56 is: 169,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,432.56 : 123,921.56 = 123,921.56 : x
  2. Step 2: Convert to fraction form
    90,432.56/123,921.56 = 123,921.56/x
  3. Step 3: Cross multiply
    90,432.56x = 123,921.56 × 123,921.56
  4. Step 4: Simplify right side
    90,432.56x = 15,356,553,652.44
  5. Step 5: Solve for x
    x = 15,356,553,652.44/90,432.56
  6. Step 6: Final answer
    x = 169,812.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.