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Finding the Third Proportional to 166,598 and 258,039

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Solution

The third proportional to 166,598 and 258,039 is: 399,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,598 : 258,039 = 258,039 : x
  2. Step 2: Convert to fraction form
    166,598/258,039 = 258,039/x
  3. Step 3: Cross multiply
    166,598x = 258,039 × 258,039
  4. Step 4: Simplify right side
    166,598x = 66,584,125,521
  5. Step 5: Solve for x
    x = 66,584,125,521/166,598
  6. Step 6: Final answer
    x = 399,669.42

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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.