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Finding the Third Proportional to 201,042 and 418,620

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Solution

The third proportional to 201,042 and 418,620 is: 871,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,042 : 418,620 = 418,620 : x
  2. Step 2: Convert to fraction form
    201,042/418,620 = 418,620/x
  3. Step 3: Cross multiply
    201,042x = 418,620 × 418,620
  4. Step 4: Simplify right side
    201,042x = 175,242,704,400
  5. Step 5: Solve for x
    x = 175,242,704,400/201,042
  6. Step 6: Final answer
    x = 871,672.11

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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.