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Finding the Third Proportional to 2,280.97 and 3,032.75

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Solution

The third proportional to 2,280.97 and 3,032.75 is: 4,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.97 : 3,032.75 = 3,032.75 : x
  2. Step 2: Convert to fraction form
    2,280.97/3,032.75 = 3,032.75/x
  3. Step 3: Cross multiply
    2,280.97x = 3,032.75 × 3,032.75
  4. Step 4: Simplify right side
    2,280.97x = 9,197,596.26
  5. Step 5: Solve for x
    x = 9,197,596.26/2,280.97
  6. Step 6: Final answer
    x = 4,032.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.