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Finding the Third Proportional to 204,340 and 318,930

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Solution

The third proportional to 204,340 and 318,930 is: 497,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,340 : 318,930 = 318,930 : x
  2. Step 2: Convert to fraction form
    204,340/318,930 = 318,930/x
  3. Step 3: Cross multiply
    204,340x = 318,930 × 318,930
  4. Step 4: Simplify right side
    204,340x = 101,716,344,900
  5. Step 5: Solve for x
    x = 101,716,344,900/204,340
  6. Step 6: Final answer
    x = 497,779.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.