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Finding the Third Proportional to 8,480 and 10,992

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Solution

The third proportional to 8,480 and 10,992 is: 14,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480 : 10,992 = 10,992 : x
  2. Step 2: Convert to fraction form
    8,480/10,992 = 10,992/x
  3. Step 3: Cross multiply
    8,480x = 10,992 × 10,992
  4. Step 4: Simplify right side
    8,480x = 120,824,064
  5. Step 5: Solve for x
    x = 120,824,064/8,480
  6. Step 6: Final answer
    x = 14,248.12

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.