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Finding the Third Proportional to 263,180 and 399,693

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Solution

The third proportional to 263,180 and 399,693 is: 607,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,180 : 399,693 = 399,693 : x
  2. Step 2: Convert to fraction form
    263,180/399,693 = 399,693/x
  3. Step 3: Cross multiply
    263,180x = 399,693 × 399,693
  4. Step 4: Simplify right side
    263,180x = 159,754,494,249
  5. Step 5: Solve for x
    x = 159,754,494,249/263,180
  6. Step 6: Final answer
    x = 607,016.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.