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Finding the Third Proportional to 271,335 and 578,694

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Solution

The third proportional to 271,335 and 578,694 is: 1,234,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,335 : 578,694 = 578,694 : x
  2. Step 2: Convert to fraction form
    271,335/578,694 = 578,694/x
  3. Step 3: Cross multiply
    271,335x = 578,694 × 578,694
  4. Step 4: Simplify right side
    271,335x = 334,886,745,636
  5. Step 5: Solve for x
    x = 334,886,745,636/271,335
  6. Step 6: Final answer
    x = 1,234,218.75

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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.