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Finding the Third Proportional to 120,175 and 186,825

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Solution

The third proportional to 120,175 and 186,825 is: 290,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,175 : 186,825 = 186,825 : x
  2. Step 2: Convert to fraction form
    120,175/186,825 = 186,825/x
  3. Step 3: Cross multiply
    120,175x = 186,825 × 186,825
  4. Step 4: Simplify right side
    120,175x = 34,903,580,625
  5. Step 5: Solve for x
    x = 34,903,580,625/120,175
  6. Step 6: Final answer
    x = 290,439.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.