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Finding the Third Proportional to 177,670.50 and 379,761

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Solution

The third proportional to 177,670.50 and 379,761 is: 811,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,670.50 : 379,761 = 379,761 : x
  2. Step 2: Convert to fraction form
    177,670.50/379,761 = 379,761/x
  3. Step 3: Cross multiply
    177,670.50x = 379,761 × 379,761
  4. Step 4: Simplify right side
    177,670.50x = 144,218,417,121
  5. Step 5: Solve for x
    x = 144,218,417,121/177,670.50
  6. Step 6: Final answer
    x = 811,718.42

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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.