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Finding the Third Proportional to 77,138 and 156,422

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Solution

The third proportional to 77,138 and 156,422 is: 317,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,138 : 156,422 = 156,422 : x
  2. Step 2: Convert to fraction form
    77,138/156,422 = 156,422/x
  3. Step 3: Cross multiply
    77,138x = 156,422 × 156,422
  4. Step 4: Simplify right side
    77,138x = 24,467,842,084
  5. Step 5: Solve for x
    x = 24,467,842,084/77,138
  6. Step 6: Final answer
    x = 317,195.70

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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.