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Finding the Third Proportional to 206,429 and 317,388

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Solution

The third proportional to 206,429 and 317,388 is: 487,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,429 : 317,388 = 317,388 : x
  2. Step 2: Convert to fraction form
    206,429/317,388 = 317,388/x
  3. Step 3: Cross multiply
    206,429x = 317,388 × 317,388
  4. Step 4: Simplify right side
    206,429x = 100,735,142,544
  5. Step 5: Solve for x
    x = 100,735,142,544/206,429
  6. Step 6: Final answer
    x = 487,989.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.