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Finding the Third Proportional to 3,082.88 and 6,627.75

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Solution

The third proportional to 3,082.88 and 6,627.75 is: 14,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.88 : 6,627.75 = 6,627.75 : x
  2. Step 2: Convert to fraction form
    3,082.88/6,627.75 = 6,627.75/x
  3. Step 3: Cross multiply
    3,082.88x = 6,627.75 × 6,627.75
  4. Step 4: Simplify right side
    3,082.88x = 43,927,070.06
  5. Step 5: Solve for x
    x = 43,927,070.06/3,082.88
  6. Step 6: Final answer
    x = 14,248.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.