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Finding the Third Proportional to 3,530.81 and 5,389.88

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Solution

The third proportional to 3,530.81 and 5,389.88 is: 8,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.81 : 5,389.88 = 5,389.88 : x
  2. Step 2: Convert to fraction form
    3,530.81/5,389.88 = 5,389.88/x
  3. Step 3: Cross multiply
    3,530.81x = 5,389.88 × 5,389.88
  4. Step 4: Simplify right side
    3,530.81x = 29,050,752.52
  5. Step 5: Solve for x
    x = 29,050,752.52/3,530.81
  6. Step 6: Final answer
    x = 8,227.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.