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Finding the Third Proportional to 20,775 and 31,378.50

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Solution

The third proportional to 20,775 and 31,378.50 is: 47,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775 : 31,378.50 = 31,378.50 : x
  2. Step 2: Convert to fraction form
    20,775/31,378.50 = 31,378.50/x
  3. Step 3: Cross multiply
    20,775x = 31,378.50 × 31,378.50
  4. Step 4: Simplify right side
    20,775x = 984,610,262.25
  5. Step 5: Solve for x
    x = 984,610,262.25/20,775
  6. Step 6: Final answer
    x = 47,394.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.