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Finding the Third Proportional to 71,721 and 150,543

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Solution

The third proportional to 71,721 and 150,543 is: 315,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,721 : 150,543 = 150,543 : x
  2. Step 2: Convert to fraction form
    71,721/150,543 = 150,543/x
  3. Step 3: Cross multiply
    71,721x = 150,543 × 150,543
  4. Step 4: Simplify right side
    71,721x = 22,663,194,849
  5. Step 5: Solve for x
    x = 22,663,194,849/71,721
  6. Step 6: Final answer
    x = 315,991.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.