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Finding the Third Proportional to 90,438 and 133,044.75

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Solution

The third proportional to 90,438 and 133,044.75 is: 195,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,438 : 133,044.75 = 133,044.75 : x
  2. Step 2: Convert to fraction form
    90,438/133,044.75 = 133,044.75/x
  3. Step 3: Cross multiply
    90,438x = 133,044.75 × 133,044.75
  4. Step 4: Simplify right side
    90,438x = 17,700,905,502.56
  5. Step 5: Solve for x
    x = 17,700,905,502.56/90,438
  6. Step 6: Final answer
    x = 195,724.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.