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Finding the Third Proportional to 8,232.50 and 13,078

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Solution

The third proportional to 8,232.50 and 13,078 is: 20,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.50 : 13,078 = 13,078 : x
  2. Step 2: Convert to fraction form
    8,232.50/13,078 = 13,078/x
  3. Step 3: Cross multiply
    8,232.50x = 13,078 × 13,078
  4. Step 4: Simplify right side
    8,232.50x = 171,034,084
  5. Step 5: Solve for x
    x = 171,034,084/8,232.50
  6. Step 6: Final answer
    x = 20,775.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.