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Finding the Third Proportional to 721,176 and 1,542,408

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Solution

The third proportional to 721,176 and 1,542,408 is: 3,298,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,176 : 1,542,408 = 1,542,408 : x
  2. Step 2: Convert to fraction form
    721,176/1,542,408 = 1,542,408/x
  3. Step 3: Cross multiply
    721,176x = 1,542,408 × 1,542,408
  4. Step 4: Simplify right side
    721,176x = 2,379,022,438,464
  5. Step 5: Solve for x
    x = 2,379,022,438,464/721,176
  6. Step 6: Final answer
    x = 3,298,809.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.