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Finding the Third Proportional to 68,721 and 150,564

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Solution

The third proportional to 68,721 and 150,564 is: 329,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,721 : 150,564 = 150,564 : x
  2. Step 2: Convert to fraction form
    68,721/150,564 = 150,564/x
  3. Step 3: Cross multiply
    68,721x = 150,564 × 150,564
  4. Step 4: Simplify right side
    68,721x = 22,669,518,096
  5. Step 5: Solve for x
    x = 22,669,518,096/68,721
  6. Step 6: Final answer
    x = 329,877.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.