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Finding the Third Proportional to 6,102.84 and 9,202.78

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Solution

The third proportional to 6,102.84 and 9,202.78 is: 13,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.84 : 9,202.78 = 9,202.78 : x
  2. Step 2: Convert to fraction form
    6,102.84/9,202.78 = 9,202.78/x
  3. Step 3: Cross multiply
    6,102.84x = 9,202.78 × 9,202.78
  4. Step 4: Simplify right side
    6,102.84x = 84,691,182.74
  5. Step 5: Solve for x
    x = 84,691,182.74/6,102.84
  6. Step 6: Final answer
    x = 13,877.33

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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.