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Finding the Third Proportional to 2,280.66 and 3,076.42

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Solution

The third proportional to 2,280.66 and 3,076.42 is: 4,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.66 : 3,076.42 = 3,076.42 : x
  2. Step 2: Convert to fraction form
    2,280.66/3,076.42 = 3,076.42/x
  3. Step 3: Cross multiply
    2,280.66x = 3,076.42 × 3,076.42
  4. Step 4: Simplify right side
    2,280.66x = 9,464,347.52
  5. Step 5: Solve for x
    x = 9,464,347.52/2,280.66
  6. Step 6: Final answer
    x = 4,149.84

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.