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Finding the Third Proportional to 10,240 and 11,680

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Solution

The third proportional to 10,240 and 11,680 is: 13,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240 : 11,680 = 11,680 : x
  2. Step 2: Convert to fraction form
    10,240/11,680 = 11,680/x
  3. Step 3: Cross multiply
    10,240x = 11,680 × 11,680
  4. Step 4: Simplify right side
    10,240x = 136,422,400
  5. Step 5: Solve for x
    x = 136,422,400/10,240
  6. Step 6: Final answer
    x = 13,322.50

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.