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Finding the Third Proportional to 100,223 and 217,546

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Solution

The third proportional to 100,223 and 217,546 is: 472,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,223 : 217,546 = 217,546 : x
  2. Step 2: Convert to fraction form
    100,223/217,546 = 217,546/x
  3. Step 3: Cross multiply
    100,223x = 217,546 × 217,546
  4. Step 4: Simplify right side
    100,223x = 47,326,262,116
  5. Step 5: Solve for x
    x = 47,326,262,116/100,223
  6. Step 6: Final answer
    x = 472,209.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.