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Finding the Third Proportional to 640.43 and 961.26

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Solution

The third proportional to 640.43 and 961.26 is: 1,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.43 : 961.26 = 961.26 : x
  2. Step 2: Convert to fraction form
    640.43/961.26 = 961.26/x
  3. Step 3: Cross multiply
    640.43x = 961.26 × 961.26
  4. Step 4: Simplify right side
    640.43x = 924,024.56
  5. Step 5: Solve for x
    x = 924,024.56/640.43
  6. Step 6: Final answer
    x = 1,442.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.