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Finding the Third Proportional to 187,689 and 283,154

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Solution

The third proportional to 187,689 and 283,154 is: 427,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,689 : 283,154 = 283,154 : x
  2. Step 2: Convert to fraction form
    187,689/283,154 = 283,154/x
  3. Step 3: Cross multiply
    187,689x = 283,154 × 283,154
  4. Step 4: Simplify right side
    187,689x = 80,176,187,716
  5. Step 5: Solve for x
    x = 80,176,187,716/187,689
  6. Step 6: Final answer
    x = 427,175.74

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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.