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Finding the Third Proportional to 120,969 and 186,894

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Solution

The third proportional to 120,969 and 186,894 is: 288,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,969 : 186,894 = 186,894 : x
  2. Step 2: Convert to fraction form
    120,969/186,894 = 186,894/x
  3. Step 3: Cross multiply
    120,969x = 186,894 × 186,894
  4. Step 4: Simplify right side
    120,969x = 34,929,367,236
  5. Step 5: Solve for x
    x = 34,929,367,236/120,969
  6. Step 6: Final answer
    x = 288,746.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.