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Finding the Third Proportional to 201,142 and 418,823

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Solution

The third proportional to 201,142 and 418,823 is: 872,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,142 : 418,823 = 418,823 : x
  2. Step 2: Convert to fraction form
    201,142/418,823 = 418,823/x
  3. Step 3: Cross multiply
    201,142x = 418,823 × 418,823
  4. Step 4: Simplify right side
    201,142x = 175,412,705,329
  5. Step 5: Solve for x
    x = 175,412,705,329/201,142
  6. Step 6: Final answer
    x = 872,083.93

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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.