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Finding the Third Proportional to 20,843 and 31,207.19

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Solution

The third proportional to 20,843 and 31,207.19 is: 46,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843 : 31,207.19 = 31,207.19 : x
  2. Step 2: Convert to fraction form
    20,843/31,207.19 = 31,207.19/x
  3. Step 3: Cross multiply
    20,843x = 31,207.19 × 31,207.19
  4. Step 4: Simplify right side
    20,843x = 973,888,551.66
  5. Step 5: Solve for x
    x = 973,888,551.66/20,843
  6. Step 6: Final answer
    x = 46,724.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.