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Finding the Third Proportional to 721,599 and 1,558,825

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Solution

The third proportional to 721,599 and 1,558,825 is: 3,367,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,599 : 1,558,825 = 1,558,825 : x
  2. Step 2: Convert to fraction form
    721,599/1,558,825 = 1,558,825/x
  3. Step 3: Cross multiply
    721,599x = 1,558,825 × 1,558,825
  4. Step 4: Simplify right side
    721,599x = 2,429,935,380,625
  5. Step 5: Solve for x
    x = 2,429,935,380,625/721,599
  6. Step 6: Final answer
    x = 3,367,431.75

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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.