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Finding the Third Proportional to 212,837 and 318,670

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Solution

The third proportional to 212,837 and 318,670 is: 477,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,837 : 318,670 = 318,670 : x
  2. Step 2: Convert to fraction form
    212,837/318,670 = 318,670/x
  3. Step 3: Cross multiply
    212,837x = 318,670 × 318,670
  4. Step 4: Simplify right side
    212,837x = 101,550,568,900
  5. Step 5: Solve for x
    x = 101,550,568,900/212,837
  6. Step 6: Final answer
    x = 477,128.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.