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Finding the Third Proportional to 38,180 and 77,438

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Solution

The third proportional to 38,180 and 77,438 is: 157,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,180 : 77,438 = 77,438 : x
  2. Step 2: Convert to fraction form
    38,180/77,438 = 77,438/x
  3. Step 3: Cross multiply
    38,180x = 77,438 × 77,438
  4. Step 4: Simplify right side
    38,180x = 5,996,643,844
  5. Step 5: Solve for x
    x = 5,996,643,844/38,180
  6. Step 6: Final answer
    x = 157,062.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.