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Finding the Third Proportional to 81,859 and 175,677

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Solution

The third proportional to 81,859 and 175,677 is: 377,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,859 : 175,677 = 175,677 : x
  2. Step 2: Convert to fraction form
    81,859/175,677 = 175,677/x
  3. Step 3: Cross multiply
    81,859x = 175,677 × 175,677
  4. Step 4: Simplify right side
    81,859x = 30,862,408,329
  5. Step 5: Solve for x
    x = 30,862,408,329/81,859
  6. Step 6: Final answer
    x = 377,019.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.