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Finding the Third Proportional to 206,416.69 and 418,642.31

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Solution

The third proportional to 206,416.69 and 418,642.31 is: 849,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.69 : 418,642.31 = 418,642.31 : x
  2. Step 2: Convert to fraction form
    206,416.69/418,642.31 = 418,642.31/x
  3. Step 3: Cross multiply
    206,416.69x = 418,642.31 × 418,642.31
  4. Step 4: Simplify right side
    206,416.69x = 175,261,385,815.35
  5. Step 5: Solve for x
    x = 175,261,385,815.35/206,416.69
  6. Step 6: Final answer
    x = 849,065.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.