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Finding the Third Proportional to 203,591 and 317,020

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Solution

The third proportional to 203,591 and 317,020 is: 493,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,591 : 317,020 = 317,020 : x
  2. Step 2: Convert to fraction form
    203,591/317,020 = 317,020/x
  3. Step 3: Cross multiply
    203,591x = 317,020 × 317,020
  4. Step 4: Simplify right side
    203,591x = 100,501,680,400
  5. Step 5: Solve for x
    x = 100,501,680,400/203,591
  6. Step 6: Final answer
    x = 493,645.01

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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.