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Finding the Third Proportional to 120,235 and 187,631

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Solution

The third proportional to 120,235 and 187,631 is: 292,804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,235 : 187,631 = 187,631 : x
  2. Step 2: Convert to fraction form
    120,235/187,631 = 187,631/x
  3. Step 3: Cross multiply
    120,235x = 187,631 × 187,631
  4. Step 4: Simplify right side
    120,235x = 35,205,392,161
  5. Step 5: Solve for x
    x = 35,205,392,161/120,235
  6. Step 6: Final answer
    x = 292,804.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.