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Finding the Third Proportional to 353,505 and 763,518

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Solution

The third proportional to 353,505 and 763,518 is: 1,649,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,505 : 763,518 = 763,518 : x
  2. Step 2: Convert to fraction form
    353,505/763,518 = 763,518/x
  3. Step 3: Cross multiply
    353,505x = 763,518 × 763,518
  4. Step 4: Simplify right side
    353,505x = 582,959,736,324
  5. Step 5: Solve for x
    x = 582,959,736,324/353,505
  6. Step 6: Final answer
    x = 1,649,084.84

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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.