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Finding the Third Proportional to 55,178.25 and 87,432

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Solution

The third proportional to 55,178.25 and 87,432 is: 138,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178.25 : 87,432 = 87,432 : x
  2. Step 2: Convert to fraction form
    55,178.25/87,432 = 87,432/x
  3. Step 3: Cross multiply
    55,178.25x = 87,432 × 87,432
  4. Step 4: Simplify right side
    55,178.25x = 7,644,354,624
  5. Step 5: Solve for x
    x = 7,644,354,624/55,178.25
  6. Step 6: Final answer
    x = 138,539.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.