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Finding the Third Proportional to 7,784 and 8,992

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Solution

The third proportional to 7,784 and 8,992 is: 10,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784 : 8,992 = 8,992 : x
  2. Step 2: Convert to fraction form
    7,784/8,992 = 8,992/x
  3. Step 3: Cross multiply
    7,784x = 8,992 × 8,992
  4. Step 4: Simplify right side
    7,784x = 80,856,064
  5. Step 5: Solve for x
    x = 80,856,064/7,784
  6. Step 6: Final answer
    x = 10,387.47

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.