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Finding the Third Proportional to 206,520 and 317,604

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Solution

The third proportional to 206,520 and 317,604 is: 488,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,520 : 317,604 = 317,604 : x
  2. Step 2: Convert to fraction form
    206,520/317,604 = 317,604/x
  3. Step 3: Cross multiply
    206,520x = 317,604 × 317,604
  4. Step 4: Simplify right side
    206,520x = 100,872,300,816
  5. Step 5: Solve for x
    x = 100,872,300,816/206,520
  6. Step 6: Final answer
    x = 488,438.41

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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.