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Finding the Third Proportional to 152,721 and 331,578

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Solution

The third proportional to 152,721 and 331,578 is: 719,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,721 : 331,578 = 331,578 : x
  2. Step 2: Convert to fraction form
    152,721/331,578 = 331,578/x
  3. Step 3: Cross multiply
    152,721x = 331,578 × 331,578
  4. Step 4: Simplify right side
    152,721x = 109,943,970,084
  5. Step 5: Solve for x
    x = 109,943,970,084/152,721
  6. Step 6: Final answer
    x = 719,900.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.