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Finding the Third Proportional to 81,461 and 173,675

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Solution

The third proportional to 81,461 and 173,675 is: 370,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,461 : 173,675 = 173,675 : x
  2. Step 2: Convert to fraction form
    81,461/173,675 = 173,675/x
  3. Step 3: Cross multiply
    81,461x = 173,675 × 173,675
  4. Step 4: Simplify right side
    81,461x = 30,163,005,625
  5. Step 5: Solve for x
    x = 30,163,005,625/81,461
  6. Step 6: Final answer
    x = 370,275.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.