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Finding the Third Proportional to 203,706 and 317,205

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Solution

The third proportional to 203,706 and 317,205 is: 493,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,706 : 317,205 = 317,205 : x
  2. Step 2: Convert to fraction form
    203,706/317,205 = 317,205/x
  3. Step 3: Cross multiply
    203,706x = 317,205 × 317,205
  4. Step 4: Simplify right side
    203,706x = 100,619,012,025
  5. Step 5: Solve for x
    x = 100,619,012,025/203,706
  6. Step 6: Final answer
    x = 493,942.31

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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.