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Finding the Third Proportional to 10,081 and 23,433

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Solution

The third proportional to 10,081 and 23,433 is: 54,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081 : 23,433 = 23,433 : x
  2. Step 2: Convert to fraction form
    10,081/23,433 = 23,433/x
  3. Step 3: Cross multiply
    10,081x = 23,433 × 23,433
  4. Step 4: Simplify right side
    10,081x = 549,105,489
  5. Step 5: Solve for x
    x = 549,105,489/10,081
  6. Step 6: Final answer
    x = 54,469.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.