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Finding the Third Proportional to 177,908 and 390,805

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Solution

The third proportional to 177,908 and 390,805 is: 858,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,908 : 390,805 = 390,805 : x
  2. Step 2: Convert to fraction form
    177,908/390,805 = 390,805/x
  3. Step 3: Cross multiply
    177,908x = 390,805 × 390,805
  4. Step 4: Simplify right side
    177,908x = 152,728,548,025
  5. Step 5: Solve for x
    x = 152,728,548,025/177,908
  6. Step 6: Final answer
    x = 858,469.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.