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Finding the Third Proportional to 7,381.13 and 9,478.69

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Solution

The third proportional to 7,381.13 and 9,478.69 is: 12,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.13 : 9,478.69 = 9,478.69 : x
  2. Step 2: Convert to fraction form
    7,381.13/9,478.69 = 9,478.69/x
  3. Step 3: Cross multiply
    7,381.13x = 9,478.69 × 9,478.69
  4. Step 4: Simplify right side
    7,381.13x = 89,845,516.72
  5. Step 5: Solve for x
    x = 89,845,516.72/7,381.13
  6. Step 6: Final answer
    x = 12,172.33

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.