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Finding the Third Proportional to 235,879 and 513,229

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Solution

The third proportional to 235,879 and 513,229 is: 1,116,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,879 : 513,229 = 513,229 : x
  2. Step 2: Convert to fraction form
    235,879/513,229 = 513,229/x
  3. Step 3: Cross multiply
    235,879x = 513,229 × 513,229
  4. Step 4: Simplify right side
    235,879x = 263,404,006,441
  5. Step 5: Solve for x
    x = 263,404,006,441/235,879
  6. Step 6: Final answer
    x = 1,116,691.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.