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Finding the Third Proportional to 206,860.50 and 290,049.75

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Solution

The third proportional to 206,860.50 and 290,049.75 is: 406,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,860.50 : 290,049.75 = 290,049.75 : x
  2. Step 2: Convert to fraction form
    206,860.50/290,049.75 = 290,049.75/x
  3. Step 3: Cross multiply
    206,860.50x = 290,049.75 × 290,049.75
  4. Step 4: Simplify right side
    206,860.50x = 84,128,857,475.06
  5. Step 5: Solve for x
    x = 84,128,857,475.06/206,860.50
  6. Step 6: Final answer
    x = 406,693.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.