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Finding the Third Proportional to 21,957 and 47,243

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Solution

The third proportional to 21,957 and 47,243 is: 101,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957 : 47,243 = 47,243 : x
  2. Step 2: Convert to fraction form
    21,957/47,243 = 47,243/x
  3. Step 3: Cross multiply
    21,957x = 47,243 × 47,243
  4. Step 4: Simplify right side
    21,957x = 2,231,901,049
  5. Step 5: Solve for x
    x = 2,231,901,049/21,957
  6. Step 6: Final answer
    x = 101,648.72

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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.