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Finding the Third Proportional to 8,177.38 and 12,969.75

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Solution

The third proportional to 8,177.38 and 12,969.75 is: 20,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.38 : 12,969.75 = 12,969.75 : x
  2. Step 2: Convert to fraction form
    8,177.38/12,969.75 = 12,969.75/x
  3. Step 3: Cross multiply
    8,177.38x = 12,969.75 × 12,969.75
  4. Step 4: Simplify right side
    8,177.38x = 168,214,415.06
  5. Step 5: Solve for x
    x = 168,214,415.06/8,177.38
  6. Step 6: Final answer
    x = 20,570.71

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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.