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Finding the Third Proportional to 257,756 and 389,469

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Solution

The third proportional to 257,756 and 389,469 is: 588,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,756 : 389,469 = 389,469 : x
  2. Step 2: Convert to fraction form
    257,756/389,469 = 389,469/x
  3. Step 3: Cross multiply
    257,756x = 389,469 × 389,469
  4. Step 4: Simplify right side
    257,756x = 151,686,101,961
  5. Step 5: Solve for x
    x = 151,686,101,961/257,756
  6. Step 6: Final answer
    x = 588,487.18

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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.