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Finding the Third Proportional to 3,253.50 and 6,345

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Solution

The third proportional to 3,253.50 and 6,345 is: 12,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.50 : 6,345 = 6,345 : x
  2. Step 2: Convert to fraction form
    3,253.50/6,345 = 6,345/x
  3. Step 3: Cross multiply
    3,253.50x = 6,345 × 6,345
  4. Step 4: Simplify right side
    3,253.50x = 40,259,025
  5. Step 5: Solve for x
    x = 40,259,025/3,253.50
  6. Step 6: Final answer
    x = 12,374.07

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.