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Finding the Third Proportional to 20,873 and 31,303

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Solution

The third proportional to 20,873 and 31,303 is: 46,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873 : 31,303 = 31,303 : x
  2. Step 2: Convert to fraction form
    20,873/31,303 = 31,303/x
  3. Step 3: Cross multiply
    20,873x = 31,303 × 31,303
  4. Step 4: Simplify right side
    20,873x = 979,877,809
  5. Step 5: Solve for x
    x = 979,877,809/20,873
  6. Step 6: Final answer
    x = 46,944.75

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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.