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Finding the Third Proportional to 187,190 and 305,628

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Solution

The third proportional to 187,190 and 305,628 is: 499,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,190 : 305,628 = 305,628 : x
  2. Step 2: Convert to fraction form
    187,190/305,628 = 305,628/x
  3. Step 3: Cross multiply
    187,190x = 305,628 × 305,628
  4. Step 4: Simplify right side
    187,190x = 93,408,474,384
  5. Step 5: Solve for x
    x = 93,408,474,384/187,190
  6. Step 6: Final answer
    x = 499,003.55

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.