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Finding the Third Proportional to 20,749.92 and 31,140.07

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Solution

The third proportional to 20,749.92 and 31,140.07 is: 46,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,749.92 : 31,140.07 = 31,140.07 : x
  2. Step 2: Convert to fraction form
    20,749.92/31,140.07 = 31,140.07/x
  3. Step 3: Cross multiply
    20,749.92x = 31,140.07 × 31,140.07
  4. Step 4: Simplify right side
    20,749.92x = 969,703,979.07
  5. Step 5: Solve for x
    x = 969,703,979.07/20,749.92
  6. Step 6: Final answer
    x = 46,732.90

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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.