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Finding the Third Proportional to 406.97 and 648.70

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Solution

The third proportional to 406.97 and 648.70 is: 1,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.97 : 648.70 = 648.70 : x
  2. Step 2: Convert to fraction form
    406.97/648.70 = 648.70/x
  3. Step 3: Cross multiply
    406.97x = 648.70 × 648.70
  4. Step 4: Simplify right side
    406.97x = 420,815.74
  5. Step 5: Solve for x
    x = 420,815.74/406.97
  6. Step 6: Final answer
    x = 1,034.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.