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Finding the Third Proportional to 274,123 and 411,185

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Solution

The third proportional to 274,123 and 411,185 is: 616,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,123 : 411,185 = 411,185 : x
  2. Step 2: Convert to fraction form
    274,123/411,185 = 411,185/x
  3. Step 3: Cross multiply
    274,123x = 411,185 × 411,185
  4. Step 4: Simplify right side
    274,123x = 169,073,104,225
  5. Step 5: Solve for x
    x = 169,073,104,225/274,123
  6. Step 6: Final answer
    x = 616,778.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.