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Finding the Third Proportional to 138,242 and 207,471

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Solution

The third proportional to 138,242 and 207,471 is: 311,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,242 : 207,471 = 207,471 : x
  2. Step 2: Convert to fraction form
    138,242/207,471 = 207,471/x
  3. Step 3: Cross multiply
    138,242x = 207,471 × 207,471
  4. Step 4: Simplify right side
    138,242x = 43,044,215,841
  5. Step 5: Solve for x
    x = 43,044,215,841/138,242
  6. Step 6: Final answer
    x = 311,368.58

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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.