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Finding the Third Proportional to 4,288.57 and 8,278.14

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Solution

The third proportional to 4,288.57 and 8,278.14 is: 15,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.57 : 8,278.14 = 8,278.14 : x
  2. Step 2: Convert to fraction form
    4,288.57/8,278.14 = 8,278.14/x
  3. Step 3: Cross multiply
    4,288.57x = 8,278.14 × 8,278.14
  4. Step 4: Simplify right side
    4,288.57x = 68,527,547.53
  5. Step 5: Solve for x
    x = 68,527,547.53/4,288.57
  6. Step 6: Final answer
    x = 15,979.11

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.