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Finding the Third Proportional to 150,561 and 221,683

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Solution

The third proportional to 150,561 and 221,683 is: 326,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,561 : 221,683 = 221,683 : x
  2. Step 2: Convert to fraction form
    150,561/221,683 = 221,683/x
  3. Step 3: Cross multiply
    150,561x = 221,683 × 221,683
  4. Step 4: Simplify right side
    150,561x = 49,143,352,489
  5. Step 5: Solve for x
    x = 49,143,352,489/150,561
  6. Step 6: Final answer
    x = 326,401.61

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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.