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Finding the Third Proportional to 466 and 1,034.75

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Solution

The third proportional to 466 and 1,034.75 is: 2,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    466 : 1,034.75 = 1,034.75 : x
  2. Step 2: Convert to fraction form
    466/1,034.75 = 1,034.75/x
  3. Step 3: Cross multiply
    466x = 1,034.75 × 1,034.75
  4. Step 4: Simplify right side
    466x = 1,070,707.56
  5. Step 5: Solve for x
    x = 1,070,707.56/466
  6. Step 6: Final answer
    x = 2,297.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.