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Finding the Third Proportional to 81,560 and 119,649

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Solution

The third proportional to 81,560 and 119,649 is: 175,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,560 : 119,649 = 119,649 : x
  2. Step 2: Convert to fraction form
    81,560/119,649 = 119,649/x
  3. Step 3: Cross multiply
    81,560x = 119,649 × 119,649
  4. Step 4: Simplify right side
    81,560x = 14,315,883,201
  5. Step 5: Solve for x
    x = 14,315,883,201/81,560
  6. Step 6: Final answer
    x = 175,525.79

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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.