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Finding the Third Proportional to 640.25 and 1,348.88

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Solution

The third proportional to 640.25 and 1,348.88 is: 2,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.25 : 1,348.88 = 1,348.88 : x
  2. Step 2: Convert to fraction form
    640.25/1,348.88 = 1,348.88/x
  3. Step 3: Cross multiply
    640.25x = 1,348.88 × 1,348.88
  4. Step 4: Simplify right side
    640.25x = 1,819,463.77
  5. Step 5: Solve for x
    x = 1,819,463.77/640.25
  6. Step 6: Final answer
    x = 2,841.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.