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Finding the Third Proportional to 177,370 and 377,739

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Solution

The third proportional to 177,370 and 377,739 is: 804,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,370 : 377,739 = 377,739 : x
  2. Step 2: Convert to fraction form
    177,370/377,739 = 377,739/x
  3. Step 3: Cross multiply
    177,370x = 377,739 × 377,739
  4. Step 4: Simplify right side
    177,370x = 142,686,752,121
  5. Step 5: Solve for x
    x = 142,686,752,121/177,370
  6. Step 6: Final answer
    x = 804,458.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.