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Finding the Third Proportional to 288,134 and 416,266

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Solution

The third proportional to 288,134 and 416,266 is: 601,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,134 : 416,266 = 416,266 : x
  2. Step 2: Convert to fraction form
    288,134/416,266 = 416,266/x
  3. Step 3: Cross multiply
    288,134x = 416,266 × 416,266
  4. Step 4: Simplify right side
    288,134x = 173,277,382,756
  5. Step 5: Solve for x
    x = 173,277,382,756/288,134
  6. Step 6: Final answer
    x = 601,377.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.