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Finding the Third Proportional to 7,760 and 15,328

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Solution

The third proportional to 7,760 and 15,328 is: 30,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760 : 15,328 = 15,328 : x
  2. Step 2: Convert to fraction form
    7,760/15,328 = 15,328/x
  3. Step 3: Cross multiply
    7,760x = 15,328 × 15,328
  4. Step 4: Simplify right side
    7,760x = 234,947,584
  5. Step 5: Solve for x
    x = 234,947,584/7,760
  6. Step 6: Final answer
    x = 30,276.75

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.