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Finding the Third Proportional to 1,046.53 and 2,272.78

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Solution

The third proportional to 1,046.53 and 2,272.78 is: 4,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.53 : 2,272.78 = 2,272.78 : x
  2. Step 2: Convert to fraction form
    1,046.53/2,272.78 = 2,272.78/x
  3. Step 3: Cross multiply
    1,046.53x = 2,272.78 × 2,272.78
  4. Step 4: Simplify right side
    1,046.53x = 5,165,534.61
  5. Step 5: Solve for x
    x = 5,165,534.61/1,046.53
  6. Step 6: Final answer
    x = 4,935.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.