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Finding the Third Proportional to 71,343 and 168,719

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Solution

The third proportional to 71,343 and 168,719 is: 399,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,343 : 168,719 = 168,719 : x
  2. Step 2: Convert to fraction form
    71,343/168,719 = 168,719/x
  3. Step 3: Cross multiply
    71,343x = 168,719 × 168,719
  4. Step 4: Simplify right side
    71,343x = 28,466,100,961
  5. Step 5: Solve for x
    x = 28,466,100,961/71,343
  6. Step 6: Final answer
    x = 399,003.42

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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.