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Finding the Third Proportional to 118,342 and 256,747

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Solution

The third proportional to 118,342 and 256,747 is: 557,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,342 : 256,747 = 256,747 : x
  2. Step 2: Convert to fraction form
    118,342/256,747 = 256,747/x
  3. Step 3: Cross multiply
    118,342x = 256,747 × 256,747
  4. Step 4: Simplify right side
    118,342x = 65,919,022,009
  5. Step 5: Solve for x
    x = 65,919,022,009/118,342
  6. Step 6: Final answer
    x = 557,021.36

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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.