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Finding the Third Proportional to 166,858 and 258,577

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Solution

The third proportional to 166,858 and 258,577 is: 400,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,858 : 258,577 = 258,577 : x
  2. Step 2: Convert to fraction form
    166,858/258,577 = 258,577/x
  3. Step 3: Cross multiply
    166,858x = 258,577 × 258,577
  4. Step 4: Simplify right side
    166,858x = 66,862,064,929
  5. Step 5: Solve for x
    x = 66,862,064,929/166,858
  6. Step 6: Final answer
    x = 400,712.37

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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.