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Finding the Third Proportional to 138,439 and 207,658

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Solution

The third proportional to 138,439 and 207,658 is: 311,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,439 : 207,658 = 207,658 : x
  2. Step 2: Convert to fraction form
    138,439/207,658 = 207,658/x
  3. Step 3: Cross multiply
    138,439x = 207,658 × 207,658
  4. Step 4: Simplify right side
    138,439x = 43,121,844,964
  5. Step 5: Solve for x
    x = 43,121,844,964/138,439
  6. Step 6: Final answer
    x = 311,486.25

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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.