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Finding the Third Proportional to 118,591 and 256,865

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Solution

The third proportional to 118,591 and 256,865 is: 556,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,591 : 256,865 = 256,865 : x
  2. Step 2: Convert to fraction form
    118,591/256,865 = 256,865/x
  3. Step 3: Cross multiply
    118,591x = 256,865 × 256,865
  4. Step 4: Simplify right side
    118,591x = 65,979,628,225
  5. Step 5: Solve for x
    x = 65,979,628,225/118,591
  6. Step 6: Final answer
    x = 556,362.86

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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.