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Finding the Third Proportional to 163,683.50 and 255,474

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Solution

The third proportional to 163,683.50 and 255,474 is: 398,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,683.50 : 255,474 = 255,474 : x
  2. Step 2: Convert to fraction form
    163,683.50/255,474 = 255,474/x
  3. Step 3: Cross multiply
    163,683.50x = 255,474 × 255,474
  4. Step 4: Simplify right side
    163,683.50x = 65,266,964,676
  5. Step 5: Solve for x
    x = 65,266,964,676/163,683.50
  6. Step 6: Final answer
    x = 398,738.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.