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Finding the Third Proportional to 21,212 and 46,108

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Solution

The third proportional to 21,212 and 46,108 is: 100,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212 : 46,108 = 46,108 : x
  2. Step 2: Convert to fraction form
    21,212/46,108 = 46,108/x
  3. Step 3: Cross multiply
    21,212x = 46,108 × 46,108
  4. Step 4: Simplify right side
    21,212x = 2,125,947,664
  5. Step 5: Solve for x
    x = 2,125,947,664/21,212
  6. Step 6: Final answer
    x = 100,223.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.