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Finding the Third Proportional to 201,251 and 419,038

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Solution

The third proportional to 201,251 and 419,038 is: 872,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,251 : 419,038 = 419,038 : x
  2. Step 2: Convert to fraction form
    201,251/419,038 = 419,038/x
  3. Step 3: Cross multiply
    201,251x = 419,038 × 419,038
  4. Step 4: Simplify right side
    201,251x = 175,592,845,444
  5. Step 5: Solve for x
    x = 175,592,845,444/201,251
  6. Step 6: Final answer
    x = 872,506.70

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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.