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Finding the Third Proportional to 87,670.31 and 189,022.13

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Solution

The third proportional to 87,670.31 and 189,022.13 is: 407,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,670.31 : 189,022.13 = 189,022.13 : x
  2. Step 2: Convert to fraction form
    87,670.31/189,022.13 = 189,022.13/x
  3. Step 3: Cross multiply
    87,670.31x = 189,022.13 × 189,022.13
  4. Step 4: Simplify right side
    87,670.31x = 35,729,363,739.52
  5. Step 5: Solve for x
    x = 35,729,363,739.52/87,670.31
  6. Step 6: Final answer
    x = 407,542.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.