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Finding the Third Proportional to 201,158 and 418,851

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Solution

The third proportional to 201,158 and 418,851 is: 872,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,158 : 418,851 = 418,851 : x
  2. Step 2: Convert to fraction form
    201,158/418,851 = 418,851/x
  3. Step 3: Cross multiply
    201,158x = 418,851 × 418,851
  4. Step 4: Simplify right side
    201,158x = 175,436,160,201
  5. Step 5: Solve for x
    x = 175,436,160,201/201,158
  6. Step 6: Final answer
    x = 872,131.16

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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.