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Finding the Third Proportional to 100,238 and 217,963

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Solution

The third proportional to 100,238 and 217,963 is: 473,950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,238 : 217,963 = 217,963 : x
  2. Step 2: Convert to fraction form
    100,238/217,963 = 217,963/x
  3. Step 3: Cross multiply
    100,238x = 217,963 × 217,963
  4. Step 4: Simplify right side
    100,238x = 47,507,869,369
  5. Step 5: Solve for x
    x = 47,507,869,369/100,238
  6. Step 6: Final answer
    x = 473,950.69

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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.