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Finding the Third Proportional to 271,393.88 and 578,856.38

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Solution

The third proportional to 271,393.88 and 578,856.38 is: 1,234,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,393.88 : 578,856.38 = 578,856.38 : x
  2. Step 2: Convert to fraction form
    271,393.88/578,856.38 = 578,856.38/x
  3. Step 3: Cross multiply
    271,393.88x = 578,856.38 × 578,856.38
  4. Step 4: Simplify right side
    271,393.88x = 335,074,702,878.14
  5. Step 5: Solve for x
    x = 335,074,702,878.14/271,393.88
  6. Step 6: Final answer
    x = 1,234,643.57

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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.