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Finding the Third Proportional to 10,924 and 23,481

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Solution

The third proportional to 10,924 and 23,481 is: 50,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924 : 23,481 = 23,481 : x
  2. Step 2: Convert to fraction form
    10,924/23,481 = 23,481/x
  3. Step 3: Cross multiply
    10,924x = 23,481 × 23,481
  4. Step 4: Simplify right side
    10,924x = 551,357,361
  5. Step 5: Solve for x
    x = 551,357,361/10,924
  6. Step 6: Final answer
    x = 50,472.11

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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.