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Finding the Third Proportional to 212,839 and 318,673

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Solution

The third proportional to 212,839 and 318,673 is: 477,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,839 : 318,673 = 318,673 : x
  2. Step 2: Convert to fraction form
    212,839/318,673 = 318,673/x
  3. Step 3: Cross multiply
    212,839x = 318,673 × 318,673
  4. Step 4: Simplify right side
    212,839x = 101,552,480,929
  5. Step 5: Solve for x
    x = 101,552,480,929/212,839
  6. Step 6: Final answer
    x = 477,132.86

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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.