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Finding the Third Proportional to 91,970 and 170,812

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Solution

The third proportional to 91,970 and 170,812 is: 317,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,970 : 170,812 = 170,812 : x
  2. Step 2: Convert to fraction form
    91,970/170,812 = 170,812/x
  3. Step 3: Cross multiply
    91,970x = 170,812 × 170,812
  4. Step 4: Simplify right side
    91,970x = 29,176,739,344
  5. Step 5: Solve for x
    x = 29,176,739,344/91,970
  6. Step 6: Final answer
    x = 317,241.92

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.