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Finding the Third Proportional to 47,609 and 69,940

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Solution

The third proportional to 47,609 and 69,940 is: 102,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,609 : 69,940 = 69,940 : x
  2. Step 2: Convert to fraction form
    47,609/69,940 = 69,940/x
  3. Step 3: Cross multiply
    47,609x = 69,940 × 69,940
  4. Step 4: Simplify right side
    47,609x = 4,891,603,600
  5. Step 5: Solve for x
    x = 4,891,603,600/47,609
  6. Step 6: Final answer
    x = 102,745.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.