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Finding the Third Proportional to 166,106 and 257,895

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Solution

The third proportional to 166,106 and 257,895 is: 400,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,106 : 257,895 = 257,895 : x
  2. Step 2: Convert to fraction form
    166,106/257,895 = 257,895/x
  3. Step 3: Cross multiply
    166,106x = 257,895 × 257,895
  4. Step 4: Simplify right side
    166,106x = 66,509,831,025
  5. Step 5: Solve for x
    x = 66,509,831,025/166,106
  6. Step 6: Final answer
    x = 400,405.95

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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.