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Finding the Third Proportional to 317,991 and 431,805

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Solution

The third proportional to 317,991 and 431,805 is: 586,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,991 : 431,805 = 431,805 : x
  2. Step 2: Convert to fraction form
    317,991/431,805 = 431,805/x
  3. Step 3: Cross multiply
    317,991x = 431,805 × 431,805
  4. Step 4: Simplify right side
    317,991x = 186,455,558,025
  5. Step 5: Solve for x
    x = 186,455,558,025/317,991
  6. Step 6: Final answer
    x = 586,354.83

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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.