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Finding the Third Proportional to 187,690 and 283,156

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Solution

The third proportional to 187,690 and 283,156 is: 427,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,690 : 283,156 = 283,156 : x
  2. Step 2: Convert to fraction form
    187,690/283,156 = 283,156/x
  3. Step 3: Cross multiply
    187,690x = 283,156 × 283,156
  4. Step 4: Simplify right side
    187,690x = 80,177,320,336
  5. Step 5: Solve for x
    x = 80,177,320,336/187,690
  6. Step 6: Final answer
    x = 427,179.50

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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.