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Finding the Third Proportional to 329,444 and 721,926

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Solution

The third proportional to 329,444 and 721,926 is: 1,581,990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,444 : 721,926 = 721,926 : x
  2. Step 2: Convert to fraction form
    329,444/721,926 = 721,926/x
  3. Step 3: Cross multiply
    329,444x = 721,926 × 721,926
  4. Step 4: Simplify right side
    329,444x = 521,177,149,476
  5. Step 5: Solve for x
    x = 521,177,149,476/329,444
  6. Step 6: Final answer
    x = 1,581,990.11

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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.