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Finding the Third Proportional to 3,140.44 and 4,675.78

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Solution

The third proportional to 3,140.44 and 4,675.78 is: 6,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.44 : 4,675.78 = 4,675.78 : x
  2. Step 2: Convert to fraction form
    3,140.44/4,675.78 = 4,675.78/x
  3. Step 3: Cross multiply
    3,140.44x = 4,675.78 × 4,675.78
  4. Step 4: Simplify right side
    3,140.44x = 21,862,930.30
  5. Step 5: Solve for x
    x = 21,862,930.30/3,140.44
  6. Step 6: Final answer
    x = 6,961.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.