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Finding the Third Proportional to 177,280 and 380,544

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Solution

The third proportional to 177,280 and 380,544 is: 816,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,280 : 380,544 = 380,544 : x
  2. Step 2: Convert to fraction form
    177,280/380,544 = 380,544/x
  3. Step 3: Cross multiply
    177,280x = 380,544 × 380,544
  4. Step 4: Simplify right side
    177,280x = 144,813,735,936
  5. Step 5: Solve for x
    x = 144,813,735,936/177,280
  6. Step 6: Final answer
    x = 816,864.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.