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Finding the Third Proportional to 81,649 and 119,677

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Solution

The third proportional to 81,649 and 119,677 is: 175,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,649 : 119,677 = 119,677 : x
  2. Step 2: Convert to fraction form
    81,649/119,677 = 119,677/x
  3. Step 3: Cross multiply
    81,649x = 119,677 × 119,677
  4. Step 4: Simplify right side
    81,649x = 14,322,584,329
  5. Step 5: Solve for x
    x = 14,322,584,329/81,649
  6. Step 6: Final answer
    x = 175,416.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.