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Finding the Third Proportional to 117,992 and 256,717

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Solution

The third proportional to 117,992 and 256,717 is: 558,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,992 : 256,717 = 256,717 : x
  2. Step 2: Convert to fraction form
    117,992/256,717 = 256,717/x
  3. Step 3: Cross multiply
    117,992x = 256,717 × 256,717
  4. Step 4: Simplify right side
    117,992x = 65,903,618,089
  5. Step 5: Solve for x
    x = 65,903,618,089/117,992
  6. Step 6: Final answer
    x = 558,543.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.