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Finding the Third Proportional to 120,269 and 186,965

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Solution

The third proportional to 120,269 and 186,965 is: 290,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,269 : 186,965 = 186,965 : x
  2. Step 2: Convert to fraction form
    120,269/186,965 = 186,965/x
  3. Step 3: Cross multiply
    120,269x = 186,965 × 186,965
  4. Step 4: Simplify right side
    120,269x = 34,955,911,225
  5. Step 5: Solve for x
    x = 34,955,911,225/120,269
  6. Step 6: Final answer
    x = 290,647.72

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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.