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Finding the Third Proportional to 143,721 and 309,375

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Solution

The third proportional to 143,721 and 309,375 is: 665,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,721 : 309,375 = 309,375 : x
  2. Step 2: Convert to fraction form
    143,721/309,375 = 309,375/x
  3. Step 3: Cross multiply
    143,721x = 309,375 × 309,375
  4. Step 4: Simplify right side
    143,721x = 95,712,890,625
  5. Step 5: Solve for x
    x = 95,712,890,625/143,721
  6. Step 6: Final answer
    x = 665,963.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.