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Finding the Third Proportional to 138,626 and 208,925

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Solution

The third proportional to 138,626 and 208,925 is: 314,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,626 : 208,925 = 208,925 : x
  2. Step 2: Convert to fraction form
    138,626/208,925 = 208,925/x
  3. Step 3: Cross multiply
    138,626x = 208,925 × 208,925
  4. Step 4: Simplify right side
    138,626x = 43,649,655,625
  5. Step 5: Solve for x
    x = 43,649,655,625/138,626
  6. Step 6: Final answer
    x = 314,873.51

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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.