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Finding the Third Proportional to 21,897 and 47,288

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Solution

The third proportional to 21,897 and 47,288 is: 102,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897 : 47,288 = 47,288 : x
  2. Step 2: Convert to fraction form
    21,897/47,288 = 47,288/x
  3. Step 3: Cross multiply
    21,897x = 47,288 × 47,288
  4. Step 4: Simplify right side
    21,897x = 2,236,154,944
  5. Step 5: Solve for x
    x = 2,236,154,944/21,897
  6. Step 6: Final answer
    x = 102,121.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.