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Finding the Third Proportional to 166,515.75 and 253,918.13

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Solution

The third proportional to 166,515.75 and 253,918.13 is: 387,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,515.75 : 253,918.13 = 253,918.13 : x
  2. Step 2: Convert to fraction form
    166,515.75/253,918.13 = 253,918.13/x
  3. Step 3: Cross multiply
    166,515.75x = 253,918.13 × 253,918.13
  4. Step 4: Simplify right side
    166,515.75x = 64,474,414,203.52
  5. Step 5: Solve for x
    x = 64,474,414,203.52/166,515.75
  6. Step 6: Final answer
    x = 387,197.09

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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.