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Finding the Third Proportional to 201,142 and 418,822

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Solution

The third proportional to 201,142 and 418,822 is: 872,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,142 : 418,822 = 418,822 : x
  2. Step 2: Convert to fraction form
    201,142/418,822 = 418,822/x
  3. Step 3: Cross multiply
    201,142x = 418,822 × 418,822
  4. Step 4: Simplify right side
    201,142x = 175,411,867,684
  5. Step 5: Solve for x
    x = 175,411,867,684/201,142
  6. Step 6: Final answer
    x = 872,079.76

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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.