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Finding the Third Proportional to 208,926 and 318,286.50

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Solution

The third proportional to 208,926 and 318,286.50 is: 484,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,926 : 318,286.50 = 318,286.50 : x
  2. Step 2: Convert to fraction form
    208,926/318,286.50 = 318,286.50/x
  3. Step 3: Cross multiply
    208,926x = 318,286.50 × 318,286.50
  4. Step 4: Simplify right side
    208,926x = 101,306,296,082.25
  5. Step 5: Solve for x
    x = 101,306,296,082.25/208,926
  6. Step 6: Final answer
    x = 484,890.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.