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Finding the Third Proportional to 378,932 and 829,186

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Solution

The third proportional to 378,932 and 829,186 is: 1,814,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,932 : 829,186 = 829,186 : x
  2. Step 2: Convert to fraction form
    378,932/829,186 = 829,186/x
  3. Step 3: Cross multiply
    378,932x = 829,186 × 829,186
  4. Step 4: Simplify right side
    378,932x = 687,549,422,596
  5. Step 5: Solve for x
    x = 687,549,422,596/378,932
  6. Step 6: Final answer
    x = 1,814,440.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.