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Finding the Third Proportional to 138,416 and 216,846

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Solution

The third proportional to 138,416 and 216,846 is: 339,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,416 : 216,846 = 216,846 : x
  2. Step 2: Convert to fraction form
    138,416/216,846 = 216,846/x
  3. Step 3: Cross multiply
    138,416x = 216,846 × 216,846
  4. Step 4: Simplify right side
    138,416x = 47,022,187,716
  5. Step 5: Solve for x
    x = 47,022,187,716/138,416
  6. Step 6: Final answer
    x = 339,716.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.