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Finding the Third Proportional to 118,366 and 178,777

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Solution

The third proportional to 118,366 and 178,777 is: 270,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,366 : 178,777 = 178,777 : x
  2. Step 2: Convert to fraction form
    118,366/178,777 = 178,777/x
  3. Step 3: Cross multiply
    118,366x = 178,777 × 178,777
  4. Step 4: Simplify right side
    118,366x = 31,961,215,729
  5. Step 5: Solve for x
    x = 31,961,215,729/118,366
  6. Step 6: Final answer
    x = 270,020.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.