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Finding the Third Proportional to 87,100.31 and 133,148.81

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Solution

The third proportional to 87,100.31 and 133,148.81 is: 203,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,100.31 : 133,148.81 = 133,148.81 : x
  2. Step 2: Convert to fraction form
    87,100.31/133,148.81 = 133,148.81/x
  3. Step 3: Cross multiply
    87,100.31x = 133,148.81 × 133,148.81
  4. Step 4: Simplify right side
    87,100.31x = 17,728,606,270.16
  5. Step 5: Solve for x
    x = 17,728,606,270.16/87,100.31
  6. Step 6: Final answer
    x = 203,542.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.