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Finding the Third Proportional to 21,952 and 51,789

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Solution

The third proportional to 21,952 and 51,789 is: 122,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952 : 51,789 = 51,789 : x
  2. Step 2: Convert to fraction form
    21,952/51,789 = 51,789/x
  3. Step 3: Cross multiply
    21,952x = 51,789 × 51,789
  4. Step 4: Simplify right side
    21,952x = 2,682,100,521
  5. Step 5: Solve for x
    x = 2,682,100,521/21,952
  6. Step 6: Final answer
    x = 122,180.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.