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Finding the Third Proportional to 166,938 and 258,831

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Solution

The third proportional to 166,938 and 258,831 is: 401,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,938 : 258,831 = 258,831 : x
  2. Step 2: Convert to fraction form
    166,938/258,831 = 258,831/x
  3. Step 3: Cross multiply
    166,938x = 258,831 × 258,831
  4. Step 4: Simplify right side
    166,938x = 66,993,486,561
  5. Step 5: Solve for x
    x = 66,993,486,561/166,938
  6. Step 6: Final answer
    x = 401,307.59

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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.