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Finding the Third Proportional to 41,780 and 64,649

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Solution

The third proportional to 41,780 and 64,649 is: 100,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,780 : 64,649 = 64,649 : x
  2. Step 2: Convert to fraction form
    41,780/64,649 = 64,649/x
  3. Step 3: Cross multiply
    41,780x = 64,649 × 64,649
  4. Step 4: Simplify right side
    41,780x = 4,179,493,201
  5. Step 5: Solve for x
    x = 4,179,493,201/41,780
  6. Step 6: Final answer
    x = 100,035.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.