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Finding the Third Proportional to 101,115 and 217,494

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Solution

The third proportional to 101,115 and 217,494 is: 467,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,115 : 217,494 = 217,494 : x
  2. Step 2: Convert to fraction form
    101,115/217,494 = 217,494/x
  3. Step 3: Cross multiply
    101,115x = 217,494 × 217,494
  4. Step 4: Simplify right side
    101,115x = 47,303,640,036
  5. Step 5: Solve for x
    x = 47,303,640,036/101,115
  6. Step 6: Final answer
    x = 467,820.21

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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.