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Finding the Third Proportional to 206,432.75 and 290,694.75

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Solution

The third proportional to 206,432.75 and 290,694.75 is: 409,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,432.75 : 290,694.75 = 290,694.75 : x
  2. Step 2: Convert to fraction form
    206,432.75/290,694.75 = 290,694.75/x
  3. Step 3: Cross multiply
    206,432.75x = 290,694.75 × 290,694.75
  4. Step 4: Simplify right side
    206,432.75x = 84,503,437,677.56
  5. Step 5: Solve for x
    x = 84,503,437,677.56/206,432.75
  6. Step 6: Final answer
    x = 409,350.93

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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.