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Finding the Third Proportional to 118,813 and 256,256

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Solution

The third proportional to 118,813 and 256,256 is: 552,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,813 : 256,256 = 256,256 : x
  2. Step 2: Convert to fraction form
    118,813/256,256 = 256,256/x
  3. Step 3: Cross multiply
    118,813x = 256,256 × 256,256
  4. Step 4: Simplify right side
    118,813x = 65,667,137,536
  5. Step 5: Solve for x
    x = 65,667,137,536/118,813
  6. Step 6: Final answer
    x = 552,693.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.