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Finding the Third Proportional to 120,186 and 186,831

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Solution

The third proportional to 120,186 and 186,831 is: 290,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,186 : 186,831 = 186,831 : x
  2. Step 2: Convert to fraction form
    120,186/186,831 = 186,831/x
  3. Step 3: Cross multiply
    120,186x = 186,831 × 186,831
  4. Step 4: Simplify right side
    120,186x = 34,905,822,561
  5. Step 5: Solve for x
    x = 34,905,822,561/120,186
  6. Step 6: Final answer
    x = 290,431.69

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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.