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Finding the Third Proportional to 641.53 and 836.30

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Solution

The third proportional to 641.53 and 836.30 is: 1,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.53 : 836.30 = 836.30 : x
  2. Step 2: Convert to fraction form
    641.53/836.30 = 836.30/x
  3. Step 3: Cross multiply
    641.53x = 836.30 × 836.30
  4. Step 4: Simplify right side
    641.53x = 699,392.46
  5. Step 5: Solve for x
    x = 699,392.46/641.53
  6. Step 6: Final answer
    x = 1,090.19

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.