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Finding the Third Proportional to 206,479.69 and 382,920.19

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Solution

The third proportional to 206,479.69 and 382,920.19 is: 710,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,479.69 : 382,920.19 = 382,920.19 : x
  2. Step 2: Convert to fraction form
    206,479.69/382,920.19 = 382,920.19/x
  3. Step 3: Cross multiply
    206,479.69x = 382,920.19 × 382,920.19
  4. Step 4: Simplify right side
    206,479.69x = 146,627,869,995.04
  5. Step 5: Solve for x
    x = 146,627,869,995.04/206,479.69
  6. Step 6: Final answer
    x = 710,132.18

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.