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Finding the Third Proportional to 201,050 and 418,438

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Solution

The third proportional to 201,050 and 418,438 is: 870,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,050 : 418,438 = 418,438 : x
  2. Step 2: Convert to fraction form
    201,050/418,438 = 418,438/x
  3. Step 3: Cross multiply
    201,050x = 418,438 × 418,438
  4. Step 4: Simplify right side
    201,050x = 175,090,359,844
  5. Step 5: Solve for x
    x = 175,090,359,844/201,050
  6. Step 6: Final answer
    x = 870,879.68

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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.