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Finding the Third Proportional to 38,180 and 77,434

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Solution

The third proportional to 38,180 and 77,434 is: 157,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,180 : 77,434 = 77,434 : x
  2. Step 2: Convert to fraction form
    38,180/77,434 = 77,434/x
  3. Step 3: Cross multiply
    38,180x = 77,434 × 77,434
  4. Step 4: Simplify right side
    38,180x = 5,996,024,356
  5. Step 5: Solve for x
    x = 5,996,024,356/38,180
  6. Step 6: Final answer
    x = 157,046.21

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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.