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Finding the Third Proportional to 71,353 and 168,744

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Solution

The third proportional to 71,353 and 168,744 is: 399,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,353 : 168,744 = 168,744 : x
  2. Step 2: Convert to fraction form
    71,353/168,744 = 168,744/x
  3. Step 3: Cross multiply
    71,353x = 168,744 × 168,744
  4. Step 4: Simplify right side
    71,353x = 28,474,537,536
  5. Step 5: Solve for x
    x = 28,474,537,536/71,353
  6. Step 6: Final answer
    x = 399,065.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.