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Finding the Third Proportional to 271,406 and 578,881

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Solution

The third proportional to 271,406 and 578,881 is: 1,234,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,406 : 578,881 = 578,881 : x
  2. Step 2: Convert to fraction form
    271,406/578,881 = 578,881/x
  3. Step 3: Cross multiply
    271,406x = 578,881 × 578,881
  4. Step 4: Simplify right side
    271,406x = 335,103,212,161
  5. Step 5: Solve for x
    x = 335,103,212,161/271,406
  6. Step 6: Final answer
    x = 1,234,693.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.