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Finding the Third Proportional to 38,172 and 77,422

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Solution

The third proportional to 38,172 and 77,422 is: 157,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,172 : 77,422 = 77,422 : x
  2. Step 2: Convert to fraction form
    38,172/77,422 = 77,422/x
  3. Step 3: Cross multiply
    38,172x = 77,422 × 77,422
  4. Step 4: Simplify right side
    38,172x = 5,994,166,084
  5. Step 5: Solve for x
    x = 5,994,166,084/38,172
  6. Step 6: Final answer
    x = 157,030.44

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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.