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Finding the Third Proportional to 199,627 and 219,310

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Solution

The third proportional to 199,627 and 219,310 is: 240,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,627 : 219,310 = 219,310 : x
  2. Step 2: Convert to fraction form
    199,627/219,310 = 219,310/x
  3. Step 3: Cross multiply
    199,627x = 219,310 × 219,310
  4. Step 4: Simplify right side
    199,627x = 48,096,876,100
  5. Step 5: Solve for x
    x = 48,096,876,100/199,627
  6. Step 6: Final answer
    x = 240,933.72

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.