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Finding the Third Proportional to 231,378 and 503,796

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Solution

The third proportional to 231,378 and 503,796 is: 1,096,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,378 : 503,796 = 503,796 : x
  2. Step 2: Convert to fraction form
    231,378/503,796 = 503,796/x
  3. Step 3: Cross multiply
    231,378x = 503,796 × 503,796
  4. Step 4: Simplify right side
    231,378x = 253,810,409,616
  5. Step 5: Solve for x
    x = 253,810,409,616/231,378
  6. Step 6: Final answer
    x = 1,096,951.35

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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.