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Finding the Third Proportional to 172,626 and 369,240

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Solution

The third proportional to 172,626 and 369,240 is: 789,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,626 : 369,240 = 369,240 : x
  2. Step 2: Convert to fraction form
    172,626/369,240 = 369,240/x
  3. Step 3: Cross multiply
    172,626x = 369,240 × 369,240
  4. Step 4: Simplify right side
    172,626x = 136,338,177,600
  5. Step 5: Solve for x
    x = 136,338,177,600/172,626
  6. Step 6: Final answer
    x = 789,789.36

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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.