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Finding the Third Proportional to 187,886 and 331,138

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Solution

The third proportional to 187,886 and 331,138 is: 583,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,886 : 331,138 = 331,138 : x
  2. Step 2: Convert to fraction form
    187,886/331,138 = 331,138/x
  3. Step 3: Cross multiply
    187,886x = 331,138 × 331,138
  4. Step 4: Simplify right side
    187,886x = 109,652,375,044
  5. Step 5: Solve for x
    x = 109,652,375,044/187,886
  6. Step 6: Final answer
    x = 583,611.21

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.