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Finding the Third Proportional to 256,734 and 558,600

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Solution

The third proportional to 256,734 and 558,600 is: 1,215,397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,734 : 558,600 = 558,600 : x
  2. Step 2: Convert to fraction form
    256,734/558,600 = 558,600/x
  3. Step 3: Cross multiply
    256,734x = 558,600 × 558,600
  4. Step 4: Simplify right side
    256,734x = 312,033,960,000
  5. Step 5: Solve for x
    x = 312,033,960,000/256,734
  6. Step 6: Final answer
    x = 1,215,397.88

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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.