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Finding the Third Proportional to 7,419.28 and 15,112.97

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Solution

The third proportional to 7,419.28 and 15,112.97 is: 30,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.28 : 15,112.97 = 15,112.97 : x
  2. Step 2: Convert to fraction form
    7,419.28/15,112.97 = 15,112.97/x
  3. Step 3: Cross multiply
    7,419.28x = 15,112.97 × 15,112.97
  4. Step 4: Simplify right side
    7,419.28x = 228,401,824.44
  5. Step 5: Solve for x
    x = 228,401,824.44/7,419.28
  6. Step 6: Final answer
    x = 30,784.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.