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Finding the Third Proportional to 10,276 and 23,972

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Solution

The third proportional to 10,276 and 23,972 is: 55,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276 : 23,972 = 23,972 : x
  2. Step 2: Convert to fraction form
    10,276/23,972 = 23,972/x
  3. Step 3: Cross multiply
    10,276x = 23,972 × 23,972
  4. Step 4: Simplify right side
    10,276x = 574,656,784
  5. Step 5: Solve for x
    x = 574,656,784/10,276
  6. Step 6: Final answer
    x = 55,922.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.