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Finding the Third Proportional to 100,786 and 217,124

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Solution

The third proportional to 100,786 and 217,124 is: 467,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,786 : 217,124 = 217,124 : x
  2. Step 2: Convert to fraction form
    100,786/217,124 = 217,124/x
  3. Step 3: Cross multiply
    100,786x = 217,124 × 217,124
  4. Step 4: Simplify right side
    100,786x = 47,142,831,376
  5. Step 5: Solve for x
    x = 47,142,831,376/100,786
  6. Step 6: Final answer
    x = 467,751.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.