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Finding the Third Proportional to 61,974 and 127,215

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Solution

The third proportional to 61,974 and 127,215 is: 261,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,974 : 127,215 = 127,215 : x
  2. Step 2: Convert to fraction form
    61,974/127,215 = 127,215/x
  3. Step 3: Cross multiply
    61,974x = 127,215 × 127,215
  4. Step 4: Simplify right side
    61,974x = 16,183,656,225
  5. Step 5: Solve for x
    x = 16,183,656,225/61,974
  6. Step 6: Final answer
    x = 261,136.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.