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Finding the Third Proportional to 8,275.50 and 13,167.56

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Solution

The third proportional to 8,275.50 and 13,167.56 is: 20,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.50 : 13,167.56 = 13,167.56 : x
  2. Step 2: Convert to fraction form
    8,275.50/13,167.56 = 13,167.56/x
  3. Step 3: Cross multiply
    8,275.50x = 13,167.56 × 13,167.56
  4. Step 4: Simplify right side
    8,275.50x = 173,384,702.19
  5. Step 5: Solve for x
    x = 173,384,702.19/8,275.50
  6. Step 6: Final answer
    x = 20,951.57

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