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Finding the Third Proportional to 118,595 and 256,872

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Solution

The third proportional to 118,595 and 256,872 is: 556,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,595 : 256,872 = 256,872 : x
  2. Step 2: Convert to fraction form
    118,595/256,872 = 256,872/x
  3. Step 3: Cross multiply
    118,595x = 256,872 × 256,872
  4. Step 4: Simplify right side
    118,595x = 65,983,224,384
  5. Step 5: Solve for x
    x = 65,983,224,384/118,595
  6. Step 6: Final answer
    x = 556,374.42

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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.