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Finding the Third Proportional to 4,290.71 and 8,856.92

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Solution

The third proportional to 4,290.71 and 8,856.92 is: 18,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.71 : 8,856.92 = 8,856.92 : x
  2. Step 2: Convert to fraction form
    4,290.71/8,856.92 = 8,856.92/x
  3. Step 3: Cross multiply
    4,290.71x = 8,856.92 × 8,856.92
  4. Step 4: Simplify right side
    4,290.71x = 78,445,082.40
  5. Step 5: Solve for x
    x = 78,445,082.40/4,290.71
  6. Step 6: Final answer
    x = 18,282.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.