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Finding the Third Proportional to 99,652 and 217,986

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Solution

The third proportional to 99,652 and 217,986 is: 476,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,652 : 217,986 = 217,986 : x
  2. Step 2: Convert to fraction form
    99,652/217,986 = 217,986/x
  3. Step 3: Cross multiply
    99,652x = 217,986 × 217,986
  4. Step 4: Simplify right side
    99,652x = 47,517,896,196
  5. Step 5: Solve for x
    x = 47,517,896,196/99,652
  6. Step 6: Final answer
    x = 476,838.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.