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Finding the Third Proportional to 329,809 and 722,743

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Solution

The third proportional to 329,809 and 722,743 is: 1,583,818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,809 : 722,743 = 722,743 : x
  2. Step 2: Convert to fraction form
    329,809/722,743 = 722,743/x
  3. Step 3: Cross multiply
    329,809x = 722,743 × 722,743
  4. Step 4: Simplify right side
    329,809x = 522,357,444,049
  5. Step 5: Solve for x
    x = 522,357,444,049/329,809
  6. Step 6: Final answer
    x = 1,583,818.04

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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.