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Finding the Third Proportional to 208,931.25 and 318,294.38

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Solution

The third proportional to 208,931.25 and 318,294.38 is: 484,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,931.25 : 318,294.38 = 318,294.38 : x
  2. Step 2: Convert to fraction form
    208,931.25/318,294.38 = 318,294.38/x
  3. Step 3: Cross multiply
    208,931.25x = 318,294.38 × 318,294.38
  4. Step 4: Simplify right side
    208,931.25x = 101,311,309,156.64
  5. Step 5: Solve for x
    x = 101,311,309,156.64/208,931.25
  6. Step 6: Final answer
    x = 484,902.61

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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.