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Finding the Third Proportional to 10,940 and 23,473

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Solution

The third proportional to 10,940 and 23,473 is: 50,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940 : 23,473 = 23,473 : x
  2. Step 2: Convert to fraction form
    10,940/23,473 = 23,473/x
  3. Step 3: Cross multiply
    10,940x = 23,473 × 23,473
  4. Step 4: Simplify right side
    10,940x = 550,981,729
  5. Step 5: Solve for x
    x = 550,981,729/10,940
  6. Step 6: Final answer
    x = 50,363.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.