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Finding the Third Proportional to 7,402.78 and 9,604.41

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Solution

The third proportional to 7,402.78 and 9,604.41 is: 12,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.78 : 9,604.41 = 9,604.41 : x
  2. Step 2: Convert to fraction form
    7,402.78/9,604.41 = 9,604.41/x
  3. Step 3: Cross multiply
    7,402.78x = 9,604.41 × 9,604.41
  4. Step 4: Simplify right side
    7,402.78x = 92,244,619.42
  5. Step 5: Solve for x
    x = 92,244,619.42/7,402.78
  6. Step 6: Final answer
    x = 12,460.81

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.