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Finding the Third Proportional to 641.74 and 1,331.65

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Solution

The third proportional to 641.74 and 1,331.65 is: 2,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.74 : 1,331.65 = 1,331.65 : x
  2. Step 2: Convert to fraction form
    641.74/1,331.65 = 1,331.65/x
  3. Step 3: Cross multiply
    641.74x = 1,331.65 × 1,331.65
  4. Step 4: Simplify right side
    641.74x = 1,773,287.56
  5. Step 5: Solve for x
    x = 1,773,287.56/641.74
  6. Step 6: Final answer
    x = 2,763.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.