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Finding the Third Proportional to 87,432.75 and 188,822.25

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Solution

The third proportional to 87,432.75 and 188,822.25 is: 407,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,432.75 : 188,822.25 = 188,822.25 : x
  2. Step 2: Convert to fraction form
    87,432.75/188,822.25 = 188,822.25/x
  3. Step 3: Cross multiply
    87,432.75x = 188,822.25 × 188,822.25
  4. Step 4: Simplify right side
    87,432.75x = 35,653,842,095.06
  5. Step 5: Solve for x
    x = 35,653,842,095.06/87,432.75
  6. Step 6: Final answer
    x = 407,785.89

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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.