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Finding the Third Proportional to 767.53 and 1,034.30

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Solution

The third proportional to 767.53 and 1,034.30 is: 1,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.53 : 1,034.30 = 1,034.30 : x
  2. Step 2: Convert to fraction form
    767.53/1,034.30 = 1,034.30/x
  3. Step 3: Cross multiply
    767.53x = 1,034.30 × 1,034.30
  4. Step 4: Simplify right side
    767.53x = 1,069,770.03
  5. Step 5: Solve for x
    x = 1,069,770.03/767.53
  6. Step 6: Final answer
    x = 1,393.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.