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Finding the Third Proportional to 56,684 and 87,464

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Solution

The third proportional to 56,684 and 87,464 is: 134,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,684 : 87,464 = 87,464 : x
  2. Step 2: Convert to fraction form
    56,684/87,464 = 87,464/x
  3. Step 3: Cross multiply
    56,684x = 87,464 × 87,464
  4. Step 4: Simplify right side
    56,684x = 7,649,951,296
  5. Step 5: Solve for x
    x = 7,649,951,296/56,684
  6. Step 6: Final answer
    x = 134,957.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.