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Finding the Third Proportional to 23,776 and 33,243

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Solution

The third proportional to 23,776 and 33,243 is: 46,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776 : 33,243 = 33,243 : x
  2. Step 2: Convert to fraction form
    23,776/33,243 = 33,243/x
  3. Step 3: Cross multiply
    23,776x = 33,243 × 33,243
  4. Step 4: Simplify right side
    23,776x = 1,105,097,049
  5. Step 5: Solve for x
    x = 1,105,097,049/23,776
  6. Step 6: Final answer
    x = 46,479.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.