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Finding the Third Proportional to 21,432 and 47,831

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Solution

The third proportional to 21,432 and 47,831 is: 106,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,432 : 47,831 = 47,831 : x
  2. Step 2: Convert to fraction form
    21,432/47,831 = 47,831/x
  3. Step 3: Cross multiply
    21,432x = 47,831 × 47,831
  4. Step 4: Simplify right side
    21,432x = 2,287,804,561
  5. Step 5: Solve for x
    x = 2,287,804,561/21,432
  6. Step 6: Final answer
    x = 106,747.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.