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Finding the Third Proportional to 201,892 and 313,489

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Solution

The third proportional to 201,892 and 313,489 is: 486,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,892 : 313,489 = 313,489 : x
  2. Step 2: Convert to fraction form
    201,892/313,489 = 313,489/x
  3. Step 3: Cross multiply
    201,892x = 313,489 × 313,489
  4. Step 4: Simplify right side
    201,892x = 98,275,353,121
  5. Step 5: Solve for x
    x = 98,275,353,121/201,892
  6. Step 6: Final answer
    x = 486,771.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.