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Finding the Third Proportional to 361,860 and 790,788

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Solution

The third proportional to 361,860 and 790,788 is: 1,728,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,860 : 790,788 = 790,788 : x
  2. Step 2: Convert to fraction form
    361,860/790,788 = 790,788/x
  3. Step 3: Cross multiply
    361,860x = 790,788 × 790,788
  4. Step 4: Simplify right side
    361,860x = 625,345,660,944
  5. Step 5: Solve for x
    x = 625,345,660,944/361,860
  6. Step 6: Final answer
    x = 1,728,142.54

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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.