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Finding the Third Proportional to 20,313.75 and 31,392

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Solution

The third proportional to 20,313.75 and 31,392 is: 48,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.75 : 31,392 = 31,392 : x
  2. Step 2: Convert to fraction form
    20,313.75/31,392 = 31,392/x
  3. Step 3: Cross multiply
    20,313.75x = 31,392 × 31,392
  4. Step 4: Simplify right side
    20,313.75x = 985,457,664
  5. Step 5: Solve for x
    x = 985,457,664/20,313.75
  6. Step 6: Final answer
    x = 48,511.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.