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Finding the Third Proportional to 177,642 and 380,608

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Solution

The third proportional to 177,642 and 380,608 is: 815,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,642 : 380,608 = 380,608 : x
  2. Step 2: Convert to fraction form
    177,642/380,608 = 380,608/x
  3. Step 3: Cross multiply
    177,642x = 380,608 × 380,608
  4. Step 4: Simplify right side
    177,642x = 144,862,449,664
  5. Step 5: Solve for x
    x = 144,862,449,664/177,642
  6. Step 6: Final answer
    x = 815,474.10

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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.