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Finding the Third Proportional to 251,842 and 547,990

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Solution

The third proportional to 251,842 and 547,990 is: 1,192,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,842 : 547,990 = 547,990 : x
  2. Step 2: Convert to fraction form
    251,842/547,990 = 547,990/x
  3. Step 3: Cross multiply
    251,842x = 547,990 × 547,990
  4. Step 4: Simplify right side
    251,842x = 300,293,040,100
  5. Step 5: Solve for x
    x = 300,293,040,100/251,842
  6. Step 6: Final answer
    x = 1,192,386.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.