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Finding the Third Proportional to 256,704 and 558,156

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Solution

The third proportional to 256,704 and 558,156 is: 1,213,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,704 : 558,156 = 558,156 : x
  2. Step 2: Convert to fraction form
    256,704/558,156 = 558,156/x
  3. Step 3: Cross multiply
    256,704x = 558,156 × 558,156
  4. Step 4: Simplify right side
    256,704x = 311,538,120,336
  5. Step 5: Solve for x
    x = 311,538,120,336/256,704
  6. Step 6: Final answer
    x = 1,213,608.36

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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.