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Finding the Third Proportional to 334,443 and 721,131

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Solution

The third proportional to 334,443 and 721,131 is: 1,554,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,443 : 721,131 = 721,131 : x
  2. Step 2: Convert to fraction form
    334,443/721,131 = 721,131/x
  3. Step 3: Cross multiply
    334,443x = 721,131 × 721,131
  4. Step 4: Simplify right side
    334,443x = 520,029,919,161
  5. Step 5: Solve for x
    x = 520,029,919,161/334,443
  6. Step 6: Final answer
    x = 1,554,913.45

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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.