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Finding the Third Proportional to 7,872 and 11,320

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Solution

The third proportional to 7,872 and 11,320 is: 16,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 11,320 = 11,320 : x
  2. Step 2: Convert to fraction form
    7,872/11,320 = 11,320/x
  3. Step 3: Cross multiply
    7,872x = 11,320 × 11,320
  4. Step 4: Simplify right side
    7,872x = 128,142,400
  5. Step 5: Solve for x
    x = 128,142,400/7,872
  6. Step 6: Final answer
    x = 16,278.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.