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Finding the Third Proportional to 166,153 and 257,765

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Solution

The third proportional to 166,153 and 257,765 is: 399,889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,153 : 257,765 = 257,765 : x
  2. Step 2: Convert to fraction form
    166,153/257,765 = 257,765/x
  3. Step 3: Cross multiply
    166,153x = 257,765 × 257,765
  4. Step 4: Simplify right side
    166,153x = 66,442,795,225
  5. Step 5: Solve for x
    x = 66,442,795,225/166,153
  6. Step 6: Final answer
    x = 399,889.23

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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.