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Finding the Third Proportional to 271,815 and 578,622

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Solution

The third proportional to 271,815 and 578,622 is: 1,231,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,815 : 578,622 = 578,622 : x
  2. Step 2: Convert to fraction form
    271,815/578,622 = 578,622/x
  3. Step 3: Cross multiply
    271,815x = 578,622 × 578,622
  4. Step 4: Simplify right side
    271,815x = 334,803,418,884
  5. Step 5: Solve for x
    x = 334,803,418,884/271,815
  6. Step 6: Final answer
    x = 1,231,732.68

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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.