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Finding the Third Proportional to 138,439 and 216,885

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Solution

The third proportional to 138,439 and 216,885 is: 339,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,439 : 216,885 = 216,885 : x
  2. Step 2: Convert to fraction form
    138,439/216,885 = 216,885/x
  3. Step 3: Cross multiply
    138,439x = 216,885 × 216,885
  4. Step 4: Simplify right side
    138,439x = 47,039,103,225
  5. Step 5: Solve for x
    x = 47,039,103,225/138,439
  6. Step 6: Final answer
    x = 339,782.17

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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.