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Finding the Third Proportional to 5,206.78 and 8,316.42

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Solution

The third proportional to 5,206.78 and 8,316.42 is: 13,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.78 : 8,316.42 = 8,316.42 : x
  2. Step 2: Convert to fraction form
    5,206.78/8,316.42 = 8,316.42/x
  3. Step 3: Cross multiply
    5,206.78x = 8,316.42 × 8,316.42
  4. Step 4: Simplify right side
    5,206.78x = 69,162,872.80
  5. Step 5: Solve for x
    x = 69,162,872.80/5,206.78
  6. Step 6: Final answer
    x = 13,283.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.