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Finding the Third Proportional to 213,663 and 332,149.50

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Solution

The third proportional to 213,663 and 332,149.50 is: 516,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,663 : 332,149.50 = 332,149.50 : x
  2. Step 2: Convert to fraction form
    213,663/332,149.50 = 332,149.50/x
  3. Step 3: Cross multiply
    213,663x = 332,149.50 × 332,149.50
  4. Step 4: Simplify right side
    213,663x = 110,323,290,350.25
  5. Step 5: Solve for x
    x = 110,323,290,350.25/213,663
  6. Step 6: Final answer
    x = 516,342.51

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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.