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Finding the Third Proportional to 361,853 and 790,774

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Solution

The third proportional to 361,853 and 790,774 is: 1,728,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,853 : 790,774 = 790,774 : x
  2. Step 2: Convert to fraction form
    361,853/790,774 = 790,774/x
  3. Step 3: Cross multiply
    361,853x = 790,774 × 790,774
  4. Step 4: Simplify right side
    361,853x = 625,323,519,076
  5. Step 5: Solve for x
    x = 625,323,519,076/361,853
  6. Step 6: Final answer
    x = 1,728,114.78

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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.