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Finding the Third Proportional to 256,856 and 558,208

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Solution

The third proportional to 256,856 and 558,208 is: 1,213,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,856 : 558,208 = 558,208 : x
  2. Step 2: Convert to fraction form
    256,856/558,208 = 558,208/x
  3. Step 3: Cross multiply
    256,856x = 558,208 × 558,208
  4. Step 4: Simplify right side
    256,856x = 311,596,171,264
  5. Step 5: Solve for x
    x = 311,596,171,264/256,856
  6. Step 6: Final answer
    x = 1,213,116.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.