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Finding the Third Proportional to 353,619 and 763,722

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Solution

The third proportional to 353,619 and 763,722 is: 1,649,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,619 : 763,722 = 763,722 : x
  2. Step 2: Convert to fraction form
    353,619/763,722 = 763,722/x
  3. Step 3: Cross multiply
    353,619x = 763,722 × 763,722
  4. Step 4: Simplify right side
    353,619x = 583,271,293,284
  5. Step 5: Solve for x
    x = 583,271,293,284/353,619
  6. Step 6: Final answer
    x = 1,649,434.26

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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.