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Finding the Third Proportional to 177,610 and 377,828

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Solution

The third proportional to 177,610 and 377,828 is: 803,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,610 : 377,828 = 377,828 : x
  2. Step 2: Convert to fraction form
    177,610/377,828 = 377,828/x
  3. Step 3: Cross multiply
    177,610x = 377,828 × 377,828
  4. Step 4: Simplify right side
    177,610x = 142,753,997,584
  5. Step 5: Solve for x
    x = 142,753,997,584/177,610
  6. Step 6: Final answer
    x = 803,749.78

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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.