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Finding the Third Proportional to 7,661.60 and 11,715.26

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Solution

The third proportional to 7,661.60 and 11,715.26 is: 17,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.60 : 11,715.26 = 11,715.26 : x
  2. Step 2: Convert to fraction form
    7,661.60/11,715.26 = 11,715.26/x
  3. Step 3: Cross multiply
    7,661.60x = 11,715.26 × 11,715.26
  4. Step 4: Simplify right side
    7,661.60x = 137,247,265.61
  5. Step 5: Solve for x
    x = 137,247,265.61/7,661.60
  6. Step 6: Final answer
    x = 17,913.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.