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Finding the Third Proportional to 3,902.25 and 6,938.25

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Solution

The third proportional to 3,902.25 and 6,938.25 is: 12,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.25 : 6,938.25 = 6,938.25 : x
  2. Step 2: Convert to fraction form
    3,902.25/6,938.25 = 6,938.25/x
  3. Step 3: Cross multiply
    3,902.25x = 6,938.25 × 6,938.25
  4. Step 4: Simplify right side
    3,902.25x = 48,139,313.06
  5. Step 5: Solve for x
    x = 48,139,313.06/3,902.25
  6. Step 6: Final answer
    x = 12,336.30

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.