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Finding the Third Proportional to 47,789 and 73,689

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Solution

The third proportional to 47,789 and 73,689 is: 113,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,789 : 73,689 = 73,689 : x
  2. Step 2: Convert to fraction form
    47,789/73,689 = 73,689/x
  3. Step 3: Cross multiply
    47,789x = 73,689 × 73,689
  4. Step 4: Simplify right side
    47,789x = 5,430,068,721
  5. Step 5: Solve for x
    x = 5,430,068,721/47,789
  6. Step 6: Final answer
    x = 113,625.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.