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Finding the Third Proportional to 8,206.50 and 15,379.50

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Solution

The third proportional to 8,206.50 and 15,379.50 is: 28,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.50 : 15,379.50 = 15,379.50 : x
  2. Step 2: Convert to fraction form
    8,206.50/15,379.50 = 15,379.50/x
  3. Step 3: Cross multiply
    8,206.50x = 15,379.50 × 15,379.50
  4. Step 4: Simplify right side
    8,206.50x = 236,529,020.25
  5. Step 5: Solve for x
    x = 236,529,020.25/8,206.50
  6. Step 6: Final answer
    x = 28,822.16

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.