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Finding the Third Proportional to 255,680 and 558,016

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Solution

The third proportional to 255,680 and 558,016 is: 1,217,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,680 : 558,016 = 558,016 : x
  2. Step 2: Convert to fraction form
    255,680/558,016 = 558,016/x
  3. Step 3: Cross multiply
    255,680x = 558,016 × 558,016
  4. Step 4: Simplify right side
    255,680x = 311,381,856,256
  5. Step 5: Solve for x
    x = 311,381,856,256/255,680
  6. Step 6: Final answer
    x = 1,217,857.70

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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.