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Finding the Third Proportional to 138,839 and 207,664

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Solution

The third proportional to 138,839 and 207,664 is: 310,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,839 : 207,664 = 207,664 : x
  2. Step 2: Convert to fraction form
    138,839/207,664 = 207,664/x
  3. Step 3: Cross multiply
    138,839x = 207,664 × 207,664
  4. Step 4: Simplify right side
    138,839x = 43,124,336,896
  5. Step 5: Solve for x
    x = 43,124,336,896/138,839
  6. Step 6: Final answer
    x = 310,606.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.