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Finding the Third Proportional to 853.88 and 2,009.81

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Solution

The third proportional to 853.88 and 2,009.81 is: 4,730.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.88 : 2,009.81 = 2,009.81 : x
  2. Step 2: Convert to fraction form
    853.88/2,009.81 = 2,009.81/x
  3. Step 3: Cross multiply
    853.88x = 2,009.81 × 2,009.81
  4. Step 4: Simplify right side
    853.88x = 4,039,346.29
  5. Step 5: Solve for x
    x = 4,039,346.29/853.88
  6. Step 6: Final answer
    x = 4,730.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.