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Finding the Third Proportional to 2,761.88 and 4,283.30

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Solution

The third proportional to 2,761.88 and 4,283.30 is: 6,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.88 : 4,283.30 = 4,283.30 : x
  2. Step 2: Convert to fraction form
    2,761.88/4,283.30 = 4,283.30/x
  3. Step 3: Cross multiply
    2,761.88x = 4,283.30 × 4,283.30
  4. Step 4: Simplify right side
    2,761.88x = 18,346,632.12
  5. Step 5: Solve for x
    x = 18,346,632.12/2,761.88
  6. Step 6: Final answer
    x = 6,642.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.