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Finding the Third Proportional to 177,690 and 273,135

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Solution

The third proportional to 177,690 and 273,135 is: 419,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,690 : 273,135 = 273,135 : x
  2. Step 2: Convert to fraction form
    177,690/273,135 = 273,135/x
  3. Step 3: Cross multiply
    177,690x = 273,135 × 273,135
  4. Step 4: Simplify right side
    177,690x = 74,602,728,225
  5. Step 5: Solve for x
    x = 74,602,728,225/177,690
  6. Step 6: Final answer
    x = 419,847.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.