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Finding the Third Proportional to 147,456 and 221,568

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Solution

The third proportional to 147,456 and 221,568 is: 332,929

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,456 : 221,568 = 221,568 : x
  2. Step 2: Convert to fraction form
    147,456/221,568 = 221,568/x
  3. Step 3: Cross multiply
    147,456x = 221,568 × 221,568
  4. Step 4: Simplify right side
    147,456x = 49,092,378,624
  5. Step 5: Solve for x
    x = 49,092,378,624/147,456
  6. Step 6: Final answer
    x = 332,929

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.