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Finding the Third Proportional to 119,920 and 185,288

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Solution

The third proportional to 119,920 and 185,288 is: 286,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,920 : 185,288 = 185,288 : x
  2. Step 2: Convert to fraction form
    119,920/185,288 = 185,288/x
  3. Step 3: Cross multiply
    119,920x = 185,288 × 185,288
  4. Step 4: Simplify right side
    119,920x = 34,331,642,944
  5. Step 5: Solve for x
    x = 34,331,642,944/119,920
  6. Step 6: Final answer
    x = 286,287.88

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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.