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Finding the Third Proportional to 171,986 and 258,987

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Solution

The third proportional to 171,986 and 258,987 is: 389,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,986 : 258,987 = 258,987 : x
  2. Step 2: Convert to fraction form
    171,986/258,987 = 258,987/x
  3. Step 3: Cross multiply
    171,986x = 258,987 × 258,987
  4. Step 4: Simplify right side
    171,986x = 67,074,266,169
  5. Step 5: Solve for x
    x = 67,074,266,169/171,986
  6. Step 6: Final answer
    x = 389,998.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.