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Finding the Third Proportional to 20,501.75 and 31,628.75

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Solution

The third proportional to 20,501.75 and 31,628.75 is: 48,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,501.75 : 31,628.75 = 31,628.75 : x
  2. Step 2: Convert to fraction form
    20,501.75/31,628.75 = 31,628.75/x
  3. Step 3: Cross multiply
    20,501.75x = 31,628.75 × 31,628.75
  4. Step 4: Simplify right side
    20,501.75x = 1,000,377,826.56
  5. Step 5: Solve for x
    x = 1,000,377,826.56/20,501.75
  6. Step 6: Final answer
    x = 48,794.75

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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.