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Finding the Third Proportional to 353,578 and 763,216

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Solution

The third proportional to 353,578 and 763,216 is: 1,647,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,578 : 763,216 = 763,216 : x
  2. Step 2: Convert to fraction form
    353,578/763,216 = 763,216/x
  3. Step 3: Cross multiply
    353,578x = 763,216 × 763,216
  4. Step 4: Simplify right side
    353,578x = 582,498,662,656
  5. Step 5: Solve for x
    x = 582,498,662,656/353,578
  6. Step 6: Final answer
    x = 1,647,440.35

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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.