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Finding the Third Proportional to 6,813.38 and 9,156.38

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Solution

The third proportional to 6,813.38 and 9,156.38 is: 12,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.38 : 9,156.38 = 9,156.38 : x
  2. Step 2: Convert to fraction form
    6,813.38/9,156.38 = 9,156.38/x
  3. Step 3: Cross multiply
    6,813.38x = 9,156.38 × 9,156.38
  4. Step 4: Simplify right side
    6,813.38x = 83,839,203.14
  5. Step 5: Solve for x
    x = 83,839,203.14/6,813.38
  6. Step 6: Final answer
    x = 12,305.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.