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Finding the Third Proportional to 23,808 and 33,486

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Solution

The third proportional to 23,808 and 33,486 is: 47,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808 : 33,486 = 33,486 : x
  2. Step 2: Convert to fraction form
    23,808/33,486 = 33,486/x
  3. Step 3: Cross multiply
    23,808x = 33,486 × 33,486
  4. Step 4: Simplify right side
    23,808x = 1,121,312,196
  5. Step 5: Solve for x
    x = 1,121,312,196/23,808
  6. Step 6: Final answer
    x = 47,098.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.