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Finding the Third Proportional to 177,608 and 380,486

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Solution

The third proportional to 177,608 and 380,486 is: 815,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,608 : 380,486 = 380,486 : x
  2. Step 2: Convert to fraction form
    177,608/380,486 = 380,486/x
  3. Step 3: Cross multiply
    177,608x = 380,486 × 380,486
  4. Step 4: Simplify right side
    177,608x = 144,769,596,196
  5. Step 5: Solve for x
    x = 144,769,596,196/177,608
  6. Step 6: Final answer
    x = 815,107.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.