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Finding the Third Proportional to 256,736 and 558,604

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Solution

The third proportional to 256,736 and 558,604 is: 1,215,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,736 : 558,604 = 558,604 : x
  2. Step 2: Convert to fraction form
    256,736/558,604 = 558,604/x
  3. Step 3: Cross multiply
    256,736x = 558,604 × 558,604
  4. Step 4: Simplify right side
    256,736x = 312,038,428,816
  5. Step 5: Solve for x
    x = 312,038,428,816/256,736
  6. Step 6: Final answer
    x = 1,215,405.82

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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.