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Finding the Third Proportional to 203,588 and 317,015

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Solution

The third proportional to 203,588 and 317,015 is: 493,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,588 : 317,015 = 317,015 : x
  2. Step 2: Convert to fraction form
    203,588/317,015 = 317,015/x
  3. Step 3: Cross multiply
    203,588x = 317,015 × 317,015
  4. Step 4: Simplify right side
    203,588x = 100,498,510,225
  5. Step 5: Solve for x
    x = 100,498,510,225/203,588
  6. Step 6: Final answer
    x = 493,636.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.