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Finding the Third Proportional to 166,185 and 255,420

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Solution

The third proportional to 166,185 and 255,420 is: 392,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,185 : 255,420 = 255,420 : x
  2. Step 2: Convert to fraction form
    166,185/255,420 = 255,420/x
  3. Step 3: Cross multiply
    166,185x = 255,420 × 255,420
  4. Step 4: Simplify right side
    166,185x = 65,239,376,400
  5. Step 5: Solve for x
    x = 65,239,376,400/166,185
  6. Step 6: Final answer
    x = 392,570.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.