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Finding the Third Proportional to 103,098 and 226,122

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Solution

The third proportional to 103,098 and 226,122 is: 495,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,098 : 226,122 = 226,122 : x
  2. Step 2: Convert to fraction form
    103,098/226,122 = 226,122/x
  3. Step 3: Cross multiply
    103,098x = 226,122 × 226,122
  4. Step 4: Simplify right side
    103,098x = 51,131,158,884
  5. Step 5: Solve for x
    x = 51,131,158,884/103,098
  6. Step 6: Final answer
    x = 495,947.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.