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Finding the Third Proportional to 201,252 and 419,040

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Solution

The third proportional to 201,252 and 419,040 is: 872,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,252 : 419,040 = 419,040 : x
  2. Step 2: Convert to fraction form
    201,252/419,040 = 419,040/x
  3. Step 3: Cross multiply
    201,252x = 419,040 × 419,040
  4. Step 4: Simplify right side
    201,252x = 175,594,521,600
  5. Step 5: Solve for x
    x = 175,594,521,600/201,252
  6. Step 6: Final answer
    x = 872,510.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.