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Finding the Third Proportional to 100,112 and 217,644

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Solution

The third proportional to 100,112 and 217,644 is: 473,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,112 : 217,644 = 217,644 : x
  2. Step 2: Convert to fraction form
    100,112/217,644 = 217,644/x
  3. Step 3: Cross multiply
    100,112x = 217,644 × 217,644
  4. Step 4: Simplify right side
    100,112x = 47,368,910,736
  5. Step 5: Solve for x
    x = 47,368,910,736/100,112
  6. Step 6: Final answer
    x = 473,159.17

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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.