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Finding the Third Proportional to 208,401.75 and 317,099.25

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Solution

The third proportional to 208,401.75 and 317,099.25 is: 482,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,401.75 : 317,099.25 = 317,099.25 : x
  2. Step 2: Convert to fraction form
    208,401.75/317,099.25 = 317,099.25/x
  3. Step 3: Cross multiply
    208,401.75x = 317,099.25 × 317,099.25
  4. Step 4: Simplify right side
    208,401.75x = 100,551,934,350.56
  5. Step 5: Solve for x
    x = 100,551,934,350.56/208,401.75
  6. Step 6: Final answer
    x = 482,490.83

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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.