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Finding the Third Proportional to 21,571 and 47,151

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Solution

The third proportional to 21,571 and 47,151 is: 103,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571 : 47,151 = 47,151 : x
  2. Step 2: Convert to fraction form
    21,571/47,151 = 47,151/x
  3. Step 3: Cross multiply
    21,571x = 47,151 × 47,151
  4. Step 4: Simplify right side
    21,571x = 2,223,216,801
  5. Step 5: Solve for x
    x = 2,223,216,801/21,571
  6. Step 6: Final answer
    x = 103,065.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.