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Finding the Third Proportional to 138,239 and 208,625

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Solution

The third proportional to 138,239 and 208,625 is: 314,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,239 : 208,625 = 208,625 : x
  2. Step 2: Convert to fraction form
    138,239/208,625 = 208,625/x
  3. Step 3: Cross multiply
    138,239x = 208,625 × 208,625
  4. Step 4: Simplify right side
    138,239x = 43,524,390,625
  5. Step 5: Solve for x
    x = 43,524,390,625/138,239
  6. Step 6: Final answer
    x = 314,848.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.