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Finding the Third Proportional to 722,395 and 1,581,815

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Solution

The third proportional to 722,395 and 1,581,815 is: 3,463,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,395 : 1,581,815 = 1,581,815 : x
  2. Step 2: Convert to fraction form
    722,395/1,581,815 = 1,581,815/x
  3. Step 3: Cross multiply
    722,395x = 1,581,815 × 1,581,815
  4. Step 4: Simplify right side
    722,395x = 2,502,138,694,225
  5. Step 5: Solve for x
    x = 2,502,138,694,225/722,395
  6. Step 6: Final answer
    x = 3,463,671.11

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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.