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Finding the Third Proportional to 31,077 and 47,688.75

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Solution

The third proportional to 31,077 and 47,688.75 is: 73,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077 : 47,688.75 = 47,688.75 : x
  2. Step 2: Convert to fraction form
    31,077/47,688.75 = 47,688.75/x
  3. Step 3: Cross multiply
    31,077x = 47,688.75 × 47,688.75
  4. Step 4: Simplify right side
    31,077x = 2,274,216,876.56
  5. Step 5: Solve for x
    x = 2,274,216,876.56/31,077
  6. Step 6: Final answer
    x = 73,180.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.