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Finding the Third Proportional to 721,314 and 1,542,690

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Solution

The third proportional to 721,314 and 1,542,690 is: 3,299,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,314 : 1,542,690 = 1,542,690 : x
  2. Step 2: Convert to fraction form
    721,314/1,542,690 = 1,542,690/x
  3. Step 3: Cross multiply
    721,314x = 1,542,690 × 1,542,690
  4. Step 4: Simplify right side
    721,314x = 2,379,892,436,100
  5. Step 5: Solve for x
    x = 2,379,892,436,100/721,314
  6. Step 6: Final answer
    x = 3,299,384.78

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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.