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Finding the Third Proportional to 38,182 and 77,442

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Solution

The third proportional to 38,182 and 77,442 is: 157,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,182 : 77,442 = 77,442 : x
  2. Step 2: Convert to fraction form
    38,182/77,442 = 77,442/x
  3. Step 3: Cross multiply
    38,182x = 77,442 × 77,442
  4. Step 4: Simplify right side
    38,182x = 5,997,263,364
  5. Step 5: Solve for x
    x = 5,997,263,364/38,182
  6. Step 6: Final answer
    x = 157,070.44

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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.