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Finding the Third Proportional to 4,288.78 and 9,396.84

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Solution

The third proportional to 4,288.78 and 9,396.84 is: 20,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.78 : 9,396.84 = 9,396.84 : x
  2. Step 2: Convert to fraction form
    4,288.78/9,396.84 = 9,396.84/x
  3. Step 3: Cross multiply
    4,288.78x = 9,396.84 × 9,396.84
  4. Step 4: Simplify right side
    4,288.78x = 88,300,672.46
  5. Step 5: Solve for x
    x = 88,300,672.46/4,288.78
  6. Step 6: Final answer
    x = 20,588.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.