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Finding the Third Proportional to 21,862 and 47,802

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Solution

The third proportional to 21,862 and 47,802 is: 104,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862 : 47,802 = 47,802 : x
  2. Step 2: Convert to fraction form
    21,862/47,802 = 47,802/x
  3. Step 3: Cross multiply
    21,862x = 47,802 × 47,802
  4. Step 4: Simplify right side
    21,862x = 2,285,031,204
  5. Step 5: Solve for x
    x = 2,285,031,204/21,862
  6. Step 6: Final answer
    x = 104,520.68

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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.