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Finding the Third Proportional to 363,718 and 790,400

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Solution

The third proportional to 363,718 and 790,400 is: 1,717,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,718 : 790,400 = 790,400 : x
  2. Step 2: Convert to fraction form
    363,718/790,400 = 790,400/x
  3. Step 3: Cross multiply
    363,718x = 790,400 × 790,400
  4. Step 4: Simplify right side
    363,718x = 624,732,160,000
  5. Step 5: Solve for x
    x = 624,732,160,000/363,718
  6. Step 6: Final answer
    x = 1,717,627.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.