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Finding the Third Proportional to 256,042 and 558,676

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Solution

The third proportional to 256,042 and 558,676 is: 1,219,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,042 : 558,676 = 558,676 : x
  2. Step 2: Convert to fraction form
    256,042/558,676 = 558,676/x
  3. Step 3: Cross multiply
    256,042x = 558,676 × 558,676
  4. Step 4: Simplify right side
    256,042x = 312,118,872,976
  5. Step 5: Solve for x
    x = 312,118,872,976/256,042
  6. Step 6: Final answer
    x = 1,219,014.35

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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.