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Finding the Third Proportional to 7,661 and 8,813

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Solution

The third proportional to 7,661 and 8,813 is: 10,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661 : 8,813 = 8,813 : x
  2. Step 2: Convert to fraction form
    7,661/8,813 = 8,813/x
  3. Step 3: Cross multiply
    7,661x = 8,813 × 8,813
  4. Step 4: Simplify right side
    7,661x = 77,668,969
  5. Step 5: Solve for x
    x = 77,668,969/7,661
  6. Step 6: Final answer
    x = 10,138.23

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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.