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Finding the Third Proportional to 21,945 and 29,802

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Solution

The third proportional to 21,945 and 29,802 is: 40,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,945 : 29,802 = 29,802 : x
  2. Step 2: Convert to fraction form
    21,945/29,802 = 29,802/x
  3. Step 3: Cross multiply
    21,945x = 29,802 × 29,802
  4. Step 4: Simplify right side
    21,945x = 888,159,204
  5. Step 5: Solve for x
    x = 888,159,204/21,945
  6. Step 6: Final answer
    x = 40,472.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.