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Finding the Third Proportional to 150,564 and 221,691

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Solution

The third proportional to 150,564 and 221,691 is: 326,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,564 : 221,691 = 221,691 : x
  2. Step 2: Convert to fraction form
    150,564/221,691 = 221,691/x
  3. Step 3: Cross multiply
    150,564x = 221,691 × 221,691
  4. Step 4: Simplify right side
    150,564x = 49,146,899,481
  5. Step 5: Solve for x
    x = 49,146,899,481/150,564
  6. Step 6: Final answer
    x = 326,418.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.