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Finding the Third Proportional to 379,530 and 817,708

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Solution

The third proportional to 379,530 and 817,708 is: 1,761,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,530 : 817,708 = 817,708 : x
  2. Step 2: Convert to fraction form
    379,530/817,708 = 817,708/x
  3. Step 3: Cross multiply
    379,530x = 817,708 × 817,708
  4. Step 4: Simplify right side
    379,530x = 668,646,373,264
  5. Step 5: Solve for x
    x = 668,646,373,264/379,530
  6. Step 6: Final answer
    x = 1,761,774.76

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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.