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Finding the Third Proportional to 353,734 and 763,486

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Solution

The third proportional to 353,734 and 763,486 is: 1,647,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,734 : 763,486 = 763,486 : x
  2. Step 2: Convert to fraction form
    353,734/763,486 = 763,486/x
  3. Step 3: Cross multiply
    353,734x = 763,486 × 763,486
  4. Step 4: Simplify right side
    353,734x = 582,910,872,196
  5. Step 5: Solve for x
    x = 582,910,872,196/353,734
  6. Step 6: Final answer
    x = 1,647,879.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.