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Finding the Third Proportional to 206,416.69 and 315,780.19

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Solution

The third proportional to 206,416.69 and 315,780.19 is: 483,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.69 : 315,780.19 = 315,780.19 : x
  2. Step 2: Convert to fraction form
    206,416.69/315,780.19 = 315,780.19/x
  3. Step 3: Cross multiply
    206,416.69x = 315,780.19 × 315,780.19
  4. Step 4: Simplify right side
    206,416.69x = 99,717,126,817.54
  5. Step 5: Solve for x
    x = 99,717,126,817.54/206,416.69
  6. Step 6: Final answer
    x = 483,086.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.