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Finding the Third Proportional to 1,042.25 and 2,276.75

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Solution

The third proportional to 1,042.25 and 2,276.75 is: 4,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.25 : 2,276.75 = 2,276.75 : x
  2. Step 2: Convert to fraction form
    1,042.25/2,276.75 = 2,276.75/x
  3. Step 3: Cross multiply
    1,042.25x = 2,276.75 × 2,276.75
  4. Step 4: Simplify right side
    1,042.25x = 5,183,590.56
  5. Step 5: Solve for x
    x = 5,183,590.56/1,042.25
  6. Step 6: Final answer
    x = 4,973.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.