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Finding the Third Proportional to 152,567 and 332,257

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Solution

The third proportional to 152,567 and 332,257 is: 723,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,567 : 332,257 = 332,257 : x
  2. Step 2: Convert to fraction form
    152,567/332,257 = 332,257/x
  3. Step 3: Cross multiply
    152,567x = 332,257 × 332,257
  4. Step 4: Simplify right side
    152,567x = 110,394,714,049
  5. Step 5: Solve for x
    x = 110,394,714,049/152,567
  6. Step 6: Final answer
    x = 723,581.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.