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Finding the Third Proportional to 166,395 and 258,144

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Solution

The third proportional to 166,395 and 258,144 is: 400,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,395 : 258,144 = 258,144 : x
  2. Step 2: Convert to fraction form
    166,395/258,144 = 258,144/x
  3. Step 3: Cross multiply
    166,395x = 258,144 × 258,144
  4. Step 4: Simplify right side
    166,395x = 66,638,324,736
  5. Step 5: Solve for x
    x = 66,638,324,736/166,395
  6. Step 6: Final answer
    x = 400,482.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.