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Finding the Third Proportional to 117,717 and 256,450

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Solution

The third proportional to 117,717 and 256,450 is: 558,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,717 : 256,450 = 256,450 : x
  2. Step 2: Convert to fraction form
    117,717/256,450 = 256,450/x
  3. Step 3: Cross multiply
    117,717x = 256,450 × 256,450
  4. Step 4: Simplify right side
    117,717x = 65,766,602,500
  5. Step 5: Solve for x
    x = 65,766,602,500/117,717
  6. Step 6: Final answer
    x = 558,683.98

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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.