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Finding the Third Proportional to 171,805 and 258,031

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Solution

The third proportional to 171,805 and 258,031 is: 387,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,805 : 258,031 = 258,031 : x
  2. Step 2: Convert to fraction form
    171,805/258,031 = 258,031/x
  3. Step 3: Cross multiply
    171,805x = 258,031 × 258,031
  4. Step 4: Simplify right side
    171,805x = 66,579,996,961
  5. Step 5: Solve for x
    x = 66,579,996,961/171,805
  6. Step 6: Final answer
    x = 387,532.36

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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.