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Finding the Third Proportional to 171,586 and 258,639

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Solution

The third proportional to 171,586 and 258,639 is: 389,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,586 : 258,639 = 258,639 : x
  2. Step 2: Convert to fraction form
    171,586/258,639 = 258,639/x
  3. Step 3: Cross multiply
    171,586x = 258,639 × 258,639
  4. Step 4: Simplify right side
    171,586x = 66,894,132,321
  5. Step 5: Solve for x
    x = 66,894,132,321/171,586
  6. Step 6: Final answer
    x = 389,857.75

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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.