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Finding the Third Proportional to 317,518 and 431,225

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Solution

The third proportional to 317,518 and 431,225 is: 585,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,518 : 431,225 = 431,225 : x
  2. Step 2: Convert to fraction form
    317,518/431,225 = 431,225/x
  3. Step 3: Cross multiply
    317,518x = 431,225 × 431,225
  4. Step 4: Simplify right side
    317,518x = 185,955,000,625
  5. Step 5: Solve for x
    x = 185,955,000,625/317,518
  6. Step 6: Final answer
    x = 585,651.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.