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Finding the Third Proportional to 138,834 and 207,657

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Solution

The third proportional to 138,834 and 207,657 is: 310,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,834 : 207,657 = 207,657 : x
  2. Step 2: Convert to fraction form
    138,834/207,657 = 207,657/x
  3. Step 3: Cross multiply
    138,834x = 207,657 × 207,657
  4. Step 4: Simplify right side
    138,834x = 43,121,429,649
  5. Step 5: Solve for x
    x = 43,121,429,649/138,834
  6. Step 6: Final answer
    x = 310,597.04

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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.