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Finding the Third Proportional to 201,230 and 419,128

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Solution

The third proportional to 201,230 and 419,128 is: 872,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,230 : 419,128 = 419,128 : x
  2. Step 2: Convert to fraction form
    201,230/419,128 = 419,128/x
  3. Step 3: Cross multiply
    201,230x = 419,128 × 419,128
  4. Step 4: Simplify right side
    201,230x = 175,668,280,384
  5. Step 5: Solve for x
    x = 175,668,280,384/201,230
  6. Step 6: Final answer
    x = 872,972.62

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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.