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Finding the Third Proportional to 2,902.50 and 6,179.63

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Solution

The third proportional to 2,902.50 and 6,179.63 is: 13,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.50 : 6,179.63 = 6,179.63 : x
  2. Step 2: Convert to fraction form
    2,902.50/6,179.63 = 6,179.63/x
  3. Step 3: Cross multiply
    2,902.50x = 6,179.63 × 6,179.63
  4. Step 4: Simplify right side
    2,902.50x = 38,187,765.14
  5. Step 5: Solve for x
    x = 38,187,765.14/2,902.50
  6. Step 6: Final answer
    x = 13,156.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.