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Finding the Third Proportional to 138,417 and 207,625

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Solution

The third proportional to 138,417 and 207,625 is: 311,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,417 : 207,625 = 207,625 : x
  2. Step 2: Convert to fraction form
    138,417/207,625 = 207,625/x
  3. Step 3: Cross multiply
    138,417x = 207,625 × 207,625
  4. Step 4: Simplify right side
    138,417x = 43,108,140,625
  5. Step 5: Solve for x
    x = 43,108,140,625/138,417
  6. Step 6: Final answer
    x = 311,436.75

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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.