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Finding the Third Proportional to 71,341 and 168,715

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Solution

The third proportional to 71,341 and 168,715 is: 398,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,341 : 168,715 = 168,715 : x
  2. Step 2: Convert to fraction form
    71,341/168,715 = 168,715/x
  3. Step 3: Cross multiply
    71,341x = 168,715 × 168,715
  4. Step 4: Simplify right side
    71,341x = 28,464,751,225
  5. Step 5: Solve for x
    x = 28,464,751,225/71,341
  6. Step 6: Final answer
    x = 398,995.69

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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.