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Finding the Third Proportional to 251,682 and 553,098

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Solution

The third proportional to 251,682 and 553,098 is: 1,215,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,682 : 553,098 = 553,098 : x
  2. Step 2: Convert to fraction form
    251,682/553,098 = 553,098/x
  3. Step 3: Cross multiply
    251,682x = 553,098 × 553,098
  4. Step 4: Simplify right side
    251,682x = 305,917,397,604
  5. Step 5: Solve for x
    x = 305,917,397,604/251,682
  6. Step 6: Final answer
    x = 1,215,491.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.