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Finding the Third Proportional to 201,861 and 438,065

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Solution

The third proportional to 201,861 and 438,065 is: 950,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,861 : 438,065 = 438,065 : x
  2. Step 2: Convert to fraction form
    201,861/438,065 = 438,065/x
  3. Step 3: Cross multiply
    201,861x = 438,065 × 438,065
  4. Step 4: Simplify right side
    201,861x = 191,900,944,225
  5. Step 5: Solve for x
    x = 191,900,944,225/201,861
  6. Step 6: Final answer
    x = 950,658.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.