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Finding the Third Proportional to 100,288 and 217,856

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Solution

The third proportional to 100,288 and 217,856 is: 473,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,288 : 217,856 = 217,856 : x
  2. Step 2: Convert to fraction form
    100,288/217,856 = 217,856/x
  3. Step 3: Cross multiply
    100,288x = 217,856 × 217,856
  4. Step 4: Simplify right side
    100,288x = 47,461,236,736
  5. Step 5: Solve for x
    x = 47,461,236,736/100,288
  6. Step 6: Final answer
    x = 473,249.41

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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.