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Finding the Third Proportional to 166,010 and 257,475

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Solution

The third proportional to 166,010 and 257,475 is: 399,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,010 : 257,475 = 257,475 : x
  2. Step 2: Convert to fraction form
    166,010/257,475 = 257,475/x
  3. Step 3: Cross multiply
    166,010x = 257,475 × 257,475
  4. Step 4: Simplify right side
    166,010x = 66,293,375,625
  5. Step 5: Solve for x
    x = 66,293,375,625/166,010
  6. Step 6: Final answer
    x = 399,333.63

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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.