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Finding the Third Proportional to 8,117.38 and 12,228.38

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Solution

The third proportional to 8,117.38 and 12,228.38 is: 18,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.38 : 12,228.38 = 12,228.38 : x
  2. Step 2: Convert to fraction form
    8,117.38/12,228.38 = 12,228.38/x
  3. Step 3: Cross multiply
    8,117.38x = 12,228.38 × 12,228.38
  4. Step 4: Simplify right side
    8,117.38x = 149,533,155.14
  5. Step 5: Solve for x
    x = 149,533,155.14/8,117.38
  6. Step 6: Final answer
    x = 18,421.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.