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Finding the Third Proportional to 397,656 and 836,352

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Solution

The third proportional to 397,656 and 836,352 is: 1,759,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,656 : 836,352 = 836,352 : x
  2. Step 2: Convert to fraction form
    397,656/836,352 = 836,352/x
  3. Step 3: Cross multiply
    397,656x = 836,352 × 836,352
  4. Step 4: Simplify right side
    397,656x = 699,484,667,904
  5. Step 5: Solve for x
    x = 699,484,667,904/397,656
  6. Step 6: Final answer
    x = 1,759,019.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.