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Finding the Third Proportional to 137,646 and 208,374

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Solution

The third proportional to 137,646 and 208,374 is: 315,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,646 : 208,374 = 208,374 : x
  2. Step 2: Convert to fraction form
    137,646/208,374 = 208,374/x
  3. Step 3: Cross multiply
    137,646x = 208,374 × 208,374
  4. Step 4: Simplify right side
    137,646x = 43,419,723,876
  5. Step 5: Solve for x
    x = 43,419,723,876/137,646
  6. Step 6: Final answer
    x = 315,444.86

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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.