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Finding the Third Proportional to 2,785.17 and 4,178.30

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Solution

The third proportional to 2,785.17 and 4,178.30 is: 6,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.17 : 4,178.30 = 4,178.30 : x
  2. Step 2: Convert to fraction form
    2,785.17/4,178.30 = 4,178.30/x
  3. Step 3: Cross multiply
    2,785.17x = 4,178.30 × 4,178.30
  4. Step 4: Simplify right side
    2,785.17x = 17,458,213.74
  5. Step 5: Solve for x
    x = 17,458,213.74/2,785.17
  6. Step 6: Final answer
    x = 6,268.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.