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Finding the Third Proportional to 340,272 and 694,368

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Solution

The third proportional to 340,272 and 694,368 is: 1,416,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,272 : 694,368 = 694,368 : x
  2. Step 2: Convert to fraction form
    340,272/694,368 = 694,368/x
  3. Step 3: Cross multiply
    340,272x = 694,368 × 694,368
  4. Step 4: Simplify right side
    340,272x = 482,146,919,424
  5. Step 5: Solve for x
    x = 482,146,919,424/340,272
  6. Step 6: Final answer
    x = 1,416,945.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.