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Finding the Third Proportional to 2,118.66 and 2,878.98

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Solution

The third proportional to 2,118.66 and 2,878.98 is: 3,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.66 : 2,878.98 = 2,878.98 : x
  2. Step 2: Convert to fraction form
    2,118.66/2,878.98 = 2,878.98/x
  3. Step 3: Cross multiply
    2,118.66x = 2,878.98 × 2,878.98
  4. Step 4: Simplify right side
    2,118.66x = 8,288,528.54
  5. Step 5: Solve for x
    x = 8,288,528.54/2,118.66
  6. Step 6: Final answer
    x = 3,912.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.