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Finding the Third Proportional to 71,780 and 167,656

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Solution

The third proportional to 71,780 and 167,656 is: 391,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,780 : 167,656 = 167,656 : x
  2. Step 2: Convert to fraction form
    71,780/167,656 = 167,656/x
  3. Step 3: Cross multiply
    71,780x = 167,656 × 167,656
  4. Step 4: Simplify right side
    71,780x = 28,108,534,336
  5. Step 5: Solve for x
    x = 28,108,534,336/71,780
  6. Step 6: Final answer
    x = 391,592.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.