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Finding the Third Proportional to 138,924 and 207,801

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Solution

The third proportional to 138,924 and 207,801 is: 310,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,924 : 207,801 = 207,801 : x
  2. Step 2: Convert to fraction form
    138,924/207,801 = 207,801/x
  3. Step 3: Cross multiply
    138,924x = 207,801 × 207,801
  4. Step 4: Simplify right side
    138,924x = 43,181,255,601
  5. Step 5: Solve for x
    x = 43,181,255,601/138,924
  6. Step 6: Final answer
    x = 310,826.46

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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.