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Finding the Third Proportional to 768.51 and 1,034.77

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Solution

The third proportional to 768.51 and 1,034.77 is: 1,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.51 : 1,034.77 = 1,034.77 : x
  2. Step 2: Convert to fraction form
    768.51/1,034.77 = 1,034.77/x
  3. Step 3: Cross multiply
    768.51x = 1,034.77 × 1,034.77
  4. Step 4: Simplify right side
    768.51x = 1,070,742.93
  5. Step 5: Solve for x
    x = 1,070,742.93/768.51
  6. Step 6: Final answer
    x = 1,393.27

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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.