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Finding the Third Proportional to 138,418 and 207,627

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Solution

The third proportional to 138,418 and 207,627 is: 311,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,418 : 207,627 = 207,627 : x
  2. Step 2: Convert to fraction form
    138,418/207,627 = 207,627/x
  3. Step 3: Cross multiply
    138,418x = 207,627 × 207,627
  4. Step 4: Simplify right side
    138,418x = 43,108,971,129
  5. Step 5: Solve for x
    x = 43,108,971,129/138,418
  6. Step 6: Final answer
    x = 311,440.50

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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.