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Finding the Third Proportional to 187,086 and 397,539

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Solution

The third proportional to 187,086 and 397,539 is: 844,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,086 : 397,539 = 397,539 : x
  2. Step 2: Convert to fraction form
    187,086/397,539 = 397,539/x
  3. Step 3: Cross multiply
    187,086x = 397,539 × 397,539
  4. Step 4: Simplify right side
    187,086x = 158,037,256,521
  5. Step 5: Solve for x
    x = 158,037,256,521/187,086
  6. Step 6: Final answer
    x = 844,730.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.