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Finding the Third Proportional to 100,494 and 138,438

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Solution

The third proportional to 100,494 and 138,438 is: 190,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,494 : 138,438 = 138,438 : x
  2. Step 2: Convert to fraction form
    100,494/138,438 = 138,438/x
  3. Step 3: Cross multiply
    100,494x = 138,438 × 138,438
  4. Step 4: Simplify right side
    100,494x = 19,165,079,844
  5. Step 5: Solve for x
    x = 19,165,079,844/100,494
  6. Step 6: Final answer
    x = 190,708.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.