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Finding the Third Proportional to 379,518 and 815,316

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Solution

The third proportional to 379,518 and 815,316 is: 1,751,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,518 : 815,316 = 815,316 : x
  2. Step 2: Convert to fraction form
    379,518/815,316 = 815,316/x
  3. Step 3: Cross multiply
    379,518x = 815,316 × 815,316
  4. Step 4: Simplify right side
    379,518x = 664,740,179,856
  5. Step 5: Solve for x
    x = 664,740,179,856/379,518
  6. Step 6: Final answer
    x = 1,751,537.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.