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Finding the Third Proportional to 285,740 and 431,204

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Solution

The third proportional to 285,740 and 431,204 is: 650,720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,740 : 431,204 = 431,204 : x
  2. Step 2: Convert to fraction form
    285,740/431,204 = 431,204/x
  3. Step 3: Cross multiply
    285,740x = 431,204 × 431,204
  4. Step 4: Simplify right side
    285,740x = 185,936,889,616
  5. Step 5: Solve for x
    x = 185,936,889,616/285,740
  6. Step 6: Final answer
    x = 650,720.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.