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Finding the Third Proportional to 151,721 and 218,549

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Solution

The third proportional to 151,721 and 218,549 is: 314,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,721 : 218,549 = 218,549 : x
  2. Step 2: Convert to fraction form
    151,721/218,549 = 218,549/x
  3. Step 3: Cross multiply
    151,721x = 218,549 × 218,549
  4. Step 4: Simplify right side
    151,721x = 47,763,665,401
  5. Step 5: Solve for x
    x = 47,763,665,401/151,721
  6. Step 6: Final answer
    x = 314,812.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.