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Finding the Third Proportional to 317,570 and 451,400

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Solution

The third proportional to 317,570 and 451,400 is: 641,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,570 : 451,400 = 451,400 : x
  2. Step 2: Convert to fraction form
    317,570/451,400 = 451,400/x
  3. Step 3: Cross multiply
    317,570x = 451,400 × 451,400
  4. Step 4: Simplify right side
    317,570x = 203,761,960,000
  5. Step 5: Solve for x
    x = 203,761,960,000/317,570
  6. Step 6: Final answer
    x = 641,628.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.