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Finding the Third Proportional to 120,206 and 186,121

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Solution

The third proportional to 120,206 and 186,121 is: 288,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,206 : 186,121 = 186,121 : x
  2. Step 2: Convert to fraction form
    120,206/186,121 = 186,121/x
  3. Step 3: Cross multiply
    120,206x = 186,121 × 186,121
  4. Step 4: Simplify right side
    120,206x = 34,641,026,641
  5. Step 5: Solve for x
    x = 34,641,026,641/120,206
  6. Step 6: Final answer
    x = 288,180.51

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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.