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Finding the Third Proportional to 3,114.75 and 7,278.38

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Solution

The third proportional to 3,114.75 and 7,278.38 is: 17,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.75 : 7,278.38 = 7,278.38 : x
  2. Step 2: Convert to fraction form
    3,114.75/7,278.38 = 7,278.38/x
  3. Step 3: Cross multiply
    3,114.75x = 7,278.38 × 7,278.38
  4. Step 4: Simplify right side
    3,114.75x = 52,974,742.64
  5. Step 5: Solve for x
    x = 52,974,742.64/3,114.75
  6. Step 6: Final answer
    x = 17,007.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.