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Finding the Third Proportional to 150,680 and 221,412

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Solution

The third proportional to 150,680 and 221,412 is: 325,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,680 : 221,412 = 221,412 : x
  2. Step 2: Convert to fraction form
    150,680/221,412 = 221,412/x
  3. Step 3: Cross multiply
    150,680x = 221,412 × 221,412
  4. Step 4: Simplify right side
    150,680x = 49,023,273,744
  5. Step 5: Solve for x
    x = 49,023,273,744/150,680
  6. Step 6: Final answer
    x = 325,346.92

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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.