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Finding the Third Proportional to 76,121 and 106,422

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Solution

The third proportional to 76,121 and 106,422 is: 148,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,121 : 106,422 = 106,422 : x
  2. Step 2: Convert to fraction form
    76,121/106,422 = 106,422/x
  3. Step 3: Cross multiply
    76,121x = 106,422 × 106,422
  4. Step 4: Simplify right side
    76,121x = 11,325,642,084
  5. Step 5: Solve for x
    x = 11,325,642,084/76,121
  6. Step 6: Final answer
    x = 148,784.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.