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Finding the Third Proportional to 100,249 and 213,606

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Solution

The third proportional to 100,249 and 213,606 is: 455,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,249 : 213,606 = 213,606 : x
  2. Step 2: Convert to fraction form
    100,249/213,606 = 213,606/x
  3. Step 3: Cross multiply
    100,249x = 213,606 × 213,606
  4. Step 4: Simplify right side
    100,249x = 45,627,523,236
  5. Step 5: Solve for x
    x = 45,627,523,236/100,249
  6. Step 6: Final answer
    x = 455,141.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.