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Finding the Third Proportional to 71,394 and 168,819

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Solution

The third proportional to 71,394 and 168,819 is: 399,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,394 : 168,819 = 168,819 : x
  2. Step 2: Convert to fraction form
    71,394/168,819 = 168,819/x
  3. Step 3: Cross multiply
    71,394x = 168,819 × 168,819
  4. Step 4: Simplify right side
    71,394x = 28,499,854,761
  5. Step 5: Solve for x
    x = 28,499,854,761/71,394
  6. Step 6: Final answer
    x = 399,191.18

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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.