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Finding the Third Proportional to 171,820 and 258,048

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Solution

The third proportional to 171,820 and 258,048 is: 387,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,820 : 258,048 = 258,048 : x
  2. Step 2: Convert to fraction form
    171,820/258,048 = 258,048/x
  3. Step 3: Cross multiply
    171,820x = 258,048 × 258,048
  4. Step 4: Simplify right side
    171,820x = 66,588,770,304
  5. Step 5: Solve for x
    x = 66,588,770,304/171,820
  6. Step 6: Final answer
    x = 387,549.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.