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Finding the Third Proportional to 31,774 and 47,120

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Solution

The third proportional to 31,774 and 47,120 is: 69,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774 : 47,120 = 47,120 : x
  2. Step 2: Convert to fraction form
    31,774/47,120 = 47,120/x
  3. Step 3: Cross multiply
    31,774x = 47,120 × 47,120
  4. Step 4: Simplify right side
    31,774x = 2,220,294,400
  5. Step 5: Solve for x
    x = 2,220,294,400/31,774
  6. Step 6: Final answer
    x = 69,877.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.