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Finding the Third Proportional to 120,359 and 186,269

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Solution

The third proportional to 120,359 and 186,269 is: 288,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,359 : 186,269 = 186,269 : x
  2. Step 2: Convert to fraction form
    120,359/186,269 = 186,269/x
  3. Step 3: Cross multiply
    120,359x = 186,269 × 186,269
  4. Step 4: Simplify right side
    120,359x = 34,696,140,361
  5. Step 5: Solve for x
    x = 34,696,140,361/120,359
  6. Step 6: Final answer
    x = 288,272.09

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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.