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Finding the Third Proportional to 150,561 and 221,682

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Solution

The third proportional to 150,561 and 221,682 is: 326,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,561 : 221,682 = 221,682 : x
  2. Step 2: Convert to fraction form
    150,561/221,682 = 221,682/x
  3. Step 3: Cross multiply
    150,561x = 221,682 × 221,682
  4. Step 4: Simplify right side
    150,561x = 49,142,909,124
  5. Step 5: Solve for x
    x = 49,142,909,124/150,561
  6. Step 6: Final answer
    x = 326,398.66

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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.