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Finding the Third Proportional to 7,678.13 and 11,571.19

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Solution

The third proportional to 7,678.13 and 11,571.19 is: 17,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.13 : 11,571.19 = 11,571.19 : x
  2. Step 2: Convert to fraction form
    7,678.13/11,571.19 = 11,571.19/x
  3. Step 3: Cross multiply
    7,678.13x = 11,571.19 × 11,571.19
  4. Step 4: Simplify right side
    7,678.13x = 133,892,380.16
  5. Step 5: Solve for x
    x = 133,892,380.16/7,678.13
  6. Step 6: Final answer
    x = 17,438.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.