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Finding the Third Proportional to 213,920 and 332,580

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Solution

The third proportional to 213,920 and 332,580 is: 517,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,920 : 332,580 = 332,580 : x
  2. Step 2: Convert to fraction form
    213,920/332,580 = 332,580/x
  3. Step 3: Cross multiply
    213,920x = 332,580 × 332,580
  4. Step 4: Simplify right side
    213,920x = 110,609,456,400
  5. Step 5: Solve for x
    x = 110,609,456,400/213,920
  6. Step 6: Final answer
    x = 517,059.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.