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Finding the Third Proportional to 7,786.13 and 8,920.13

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Solution

The third proportional to 7,786.13 and 8,920.13 is: 10,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 8,920.13 = 8,920.13 : x
  2. Step 2: Convert to fraction form
    7,786.13/8,920.13 = 8,920.13/x
  3. Step 3: Cross multiply
    7,786.13x = 8,920.13 × 8,920.13
  4. Step 4: Simplify right side
    7,786.13x = 79,568,630.02
  5. Step 5: Solve for x
    x = 79,568,630.02/7,786.13
  6. Step 6: Final answer
    x = 10,219.28

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.