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Finding the Third Proportional to 177,400 and 387,928

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Solution

The third proportional to 177,400 and 387,928 is: 848,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,400 : 387,928 = 387,928 : x
  2. Step 2: Convert to fraction form
    177,400/387,928 = 387,928/x
  3. Step 3: Cross multiply
    177,400x = 387,928 × 387,928
  4. Step 4: Simplify right side
    177,400x = 150,488,133,184
  5. Step 5: Solve for x
    x = 150,488,133,184/177,400
  6. Step 6: Final answer
    x = 848,298.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.