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Finding the Third Proportional to 256,367.11 and 558,863.30

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Solution

The third proportional to 256,367.11 and 558,863.30 is: 1,218,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,367.11 : 558,863.30 = 558,863.30 : x
  2. Step 2: Convert to fraction form
    256,367.11/558,863.30 = 558,863.30/x
  3. Step 3: Cross multiply
    256,367.11x = 558,863.30 × 558,863.30
  4. Step 4: Simplify right side
    256,367.11x = 312,328,184,593.99
  5. Step 5: Solve for x
    x = 312,328,184,593.99/256,367.11
  6. Step 6: Final answer
    x = 1,218,284.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.