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Finding the Third Proportional to 201,148 and 418,831

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Solution

The third proportional to 201,148 and 418,831 is: 872,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,148 : 418,831 = 418,831 : x
  2. Step 2: Convert to fraction form
    201,148/418,831 = 418,831/x
  3. Step 3: Cross multiply
    201,148x = 418,831 × 418,831
  4. Step 4: Simplify right side
    201,148x = 175,419,406,561
  5. Step 5: Solve for x
    x = 175,419,406,561/201,148
  6. Step 6: Final answer
    x = 872,091.23

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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.