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Finding the Third Proportional to 6,249 and 8,257.50

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Solution

The third proportional to 6,249 and 8,257.50 is: 10,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249 : 8,257.50 = 8,257.50 : x
  2. Step 2: Convert to fraction form
    6,249/8,257.50 = 8,257.50/x
  3. Step 3: Cross multiply
    6,249x = 8,257.50 × 8,257.50
  4. Step 4: Simplify right side
    6,249x = 68,186,306.25
  5. Step 5: Solve for x
    x = 68,186,306.25/6,249
  6. Step 6: Final answer
    x = 10,911.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.