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Finding the Third Proportional to 171,588 and 258,642

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Solution

The third proportional to 171,588 and 258,642 is: 389,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,588 : 258,642 = 258,642 : x
  2. Step 2: Convert to fraction form
    171,588/258,642 = 258,642/x
  3. Step 3: Cross multiply
    171,588x = 258,642 × 258,642
  4. Step 4: Simplify right side
    171,588x = 66,895,684,164
  5. Step 5: Solve for x
    x = 66,895,684,164/171,588
  6. Step 6: Final answer
    x = 389,862.25

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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.