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Finding the Third Proportional to 187,028 and 397,360

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Solution

The third proportional to 187,028 and 397,360 is: 844,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,028 : 397,360 = 397,360 : x
  2. Step 2: Convert to fraction form
    187,028/397,360 = 397,360/x
  3. Step 3: Cross multiply
    187,028x = 397,360 × 397,360
  4. Step 4: Simplify right side
    187,028x = 157,894,969,600
  5. Step 5: Solve for x
    x = 157,894,969,600/187,028
  6. Step 6: Final answer
    x = 844,231.72

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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.