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Finding the Third Proportional to 2,913.50 and 6,227.38

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Solution

The third proportional to 2,913.50 and 6,227.38 is: 13,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.50 : 6,227.38 = 6,227.38 : x
  2. Step 2: Convert to fraction form
    2,913.50/6,227.38 = 6,227.38/x
  3. Step 3: Cross multiply
    2,913.50x = 6,227.38 × 6,227.38
  4. Step 4: Simplify right side
    2,913.50x = 38,780,199.39
  5. Step 5: Solve for x
    x = 38,780,199.39/2,913.50
  6. Step 6: Final answer
    x = 13,310.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.