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Finding the Third Proportional to 2,888.32 and 6,227.02

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Solution

The third proportional to 2,888.32 and 6,227.02 is: 13,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.32 : 6,227.02 = 6,227.02 : x
  2. Step 2: Convert to fraction form
    2,888.32/6,227.02 = 6,227.02/x
  3. Step 3: Cross multiply
    2,888.32x = 6,227.02 × 6,227.02
  4. Step 4: Simplify right side
    2,888.32x = 38,775,819.37
  5. Step 5: Solve for x
    x = 38,775,819.37/2,888.32
  6. Step 6: Final answer
    x = 13,425.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.