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Finding the Third Proportional to 171,807 and 258,036

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Solution

The third proportional to 171,807 and 258,036 is: 387,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,807 : 258,036 = 258,036 : x
  2. Step 2: Convert to fraction form
    171,807/258,036 = 258,036/x
  3. Step 3: Cross multiply
    171,807x = 258,036 × 258,036
  4. Step 4: Simplify right side
    171,807x = 66,582,577,296
  5. Step 5: Solve for x
    x = 66,582,577,296/171,807
  6. Step 6: Final answer
    x = 387,542.87

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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.