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Finding the Third Proportional to 76,486 and 107,517

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Solution

The third proportional to 76,486 and 107,517 is: 151,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486 : 107,517 = 107,517 : x
  2. Step 2: Convert to fraction form
    76,486/107,517 = 107,517/x
  3. Step 3: Cross multiply
    76,486x = 107,517 × 107,517
  4. Step 4: Simplify right side
    76,486x = 11,559,905,289
  5. Step 5: Solve for x
    x = 11,559,905,289/76,486
  6. Step 6: Final answer
    x = 151,137.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.