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Finding the Third Proportional to 206,851.22 and 290,035.69

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Solution

The third proportional to 206,851.22 and 290,035.69 is: 406,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,851.22 : 290,035.69 = 290,035.69 : x
  2. Step 2: Convert to fraction form
    206,851.22/290,035.69 = 290,035.69/x
  3. Step 3: Cross multiply
    206,851.22x = 290,035.69 × 290,035.69
  4. Step 4: Simplify right side
    206,851.22x = 84,120,700,023.60
  5. Step 5: Solve for x
    x = 84,120,700,023.60/206,851.22
  6. Step 6: Final answer
    x = 406,672.49

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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.