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Finding the Third Proportional to 2,702.78 and 3,867.83

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Solution

The third proportional to 2,702.78 and 3,867.83 is: 5,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.78 : 3,867.83 = 3,867.83 : x
  2. Step 2: Convert to fraction form
    2,702.78/3,867.83 = 3,867.83/x
  3. Step 3: Cross multiply
    2,702.78x = 3,867.83 × 3,867.83
  4. Step 4: Simplify right side
    2,702.78x = 14,960,101.96
  5. Step 5: Solve for x
    x = 14,960,101.96/2,702.78
  6. Step 6: Final answer
    x = 5,535.08

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.