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Finding the Third Proportional to 5,328.56 and 8,154.56

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Solution

The third proportional to 5,328.56 and 8,154.56 is: 12,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.56 : 8,154.56 = 8,154.56 : x
  2. Step 2: Convert to fraction form
    5,328.56/8,154.56 = 8,154.56/x
  3. Step 3: Cross multiply
    5,328.56x = 8,154.56 × 8,154.56
  4. Step 4: Simplify right side
    5,328.56x = 66,496,889.57
  5. Step 5: Solve for x
    x = 66,496,889.57/5,328.56
  6. Step 6: Final answer
    x = 12,479.33

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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.