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Finding the Third Proportional to 77,422 and 115,831

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Solution

The third proportional to 77,422 and 115,831 is: 173,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,422 : 115,831 = 115,831 : x
  2. Step 2: Convert to fraction form
    77,422/115,831 = 115,831/x
  3. Step 3: Cross multiply
    77,422x = 115,831 × 115,831
  4. Step 4: Simplify right side
    77,422x = 13,416,820,561
  5. Step 5: Solve for x
    x = 13,416,820,561/77,422
  6. Step 6: Final answer
    x = 173,294.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.