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Finding the Third Proportional to 7,680 and 11,276

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Solution

The third proportional to 7,680 and 11,276 is: 16,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680 : 11,276 = 11,276 : x
  2. Step 2: Convert to fraction form
    7,680/11,276 = 11,276/x
  3. Step 3: Cross multiply
    7,680x = 11,276 × 11,276
  4. Step 4: Simplify right side
    7,680x = 127,148,176
  5. Step 5: Solve for x
    x = 127,148,176/7,680
  6. Step 6: Final answer
    x = 16,555.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.