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Finding the Third Proportional to 138,437 and 216,883

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Solution

The third proportional to 138,437 and 216,883 is: 339,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,437 : 216,883 = 216,883 : x
  2. Step 2: Convert to fraction form
    138,437/216,883 = 216,883/x
  3. Step 3: Cross multiply
    138,437x = 216,883 × 216,883
  4. Step 4: Simplify right side
    138,437x = 47,038,235,689
  5. Step 5: Solve for x
    x = 47,038,235,689/138,437
  6. Step 6: Final answer
    x = 339,780.81

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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.