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Finding the Third Proportional to 206,479.69 and 290,773.69

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Solution

The third proportional to 206,479.69 and 290,773.69 is: 409,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,479.69 : 290,773.69 = 290,773.69 : x
  2. Step 2: Convert to fraction form
    206,479.69/290,773.69 = 290,773.69/x
  3. Step 3: Cross multiply
    206,479.69x = 290,773.69 × 290,773.69
  4. Step 4: Simplify right side
    206,479.69x = 84,549,337,342.35
  5. Step 5: Solve for x
    x = 84,549,337,342.35/206,479.69
  6. Step 6: Final answer
    x = 409,480.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.