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Finding the Third Proportional to 168,652 and 256,431.50

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Solution

The third proportional to 168,652 and 256,431.50 is: 389,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,652 : 256,431.50 = 256,431.50 : x
  2. Step 2: Convert to fraction form
    168,652/256,431.50 = 256,431.50/x
  3. Step 3: Cross multiply
    168,652x = 256,431.50 × 256,431.50
  4. Step 4: Simplify right side
    168,652x = 65,757,114,192.25
  5. Step 5: Solve for x
    x = 65,757,114,192.25/168,652
  6. Step 6: Final answer
    x = 389,898.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.