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Finding the Third Proportional to 7,821 and 8,928

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Solution

The third proportional to 7,821 and 8,928 is: 10,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821 : 8,928 = 8,928 : x
  2. Step 2: Convert to fraction form
    7,821/8,928 = 8,928/x
  3. Step 3: Cross multiply
    7,821x = 8,928 × 8,928
  4. Step 4: Simplify right side
    7,821x = 79,709,184
  5. Step 5: Solve for x
    x = 79,709,184/7,821
  6. Step 6: Final answer
    x = 10,191.69

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.