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Finding the Third Proportional to 118,564 and 256,811

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Solution

The third proportional to 118,564 and 256,811 is: 556,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,564 : 256,811 = 256,811 : x
  2. Step 2: Convert to fraction form
    118,564/256,811 = 256,811/x
  3. Step 3: Cross multiply
    118,564x = 256,811 × 256,811
  4. Step 4: Simplify right side
    118,564x = 65,951,889,721
  5. Step 5: Solve for x
    x = 65,951,889,721/118,564
  6. Step 6: Final answer
    x = 556,255.61

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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.