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Finding the Third Proportional to 55,216 and 87,464

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Solution

The third proportional to 55,216 and 87,464 is: 138,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,216 : 87,464 = 87,464 : x
  2. Step 2: Convert to fraction form
    55,216/87,464 = 87,464/x
  3. Step 3: Cross multiply
    55,216x = 87,464 × 87,464
  4. Step 4: Simplify right side
    55,216x = 7,649,951,296
  5. Step 5: Solve for x
    x = 7,649,951,296/55,216
  6. Step 6: Final answer
    x = 138,545.92

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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.