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Finding the Third Proportional to 317,286 and 485,976

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Solution

The third proportional to 317,286 and 485,976 is: 744,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,286 : 485,976 = 485,976 : x
  2. Step 2: Convert to fraction form
    317,286/485,976 = 485,976/x
  3. Step 3: Cross multiply
    317,286x = 485,976 × 485,976
  4. Step 4: Simplify right side
    317,286x = 236,172,672,576
  5. Step 5: Solve for x
    x = 236,172,672,576/317,286
  6. Step 6: Final answer
    x = 744,352.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.