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Finding the Third Proportional to 135,969 and 299,123

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Solution

The third proportional to 135,969 and 299,123 is: 658,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,969 : 299,123 = 299,123 : x
  2. Step 2: Convert to fraction form
    135,969/299,123 = 299,123/x
  3. Step 3: Cross multiply
    135,969x = 299,123 × 299,123
  4. Step 4: Simplify right side
    135,969x = 89,474,569,129
  5. Step 5: Solve for x
    x = 89,474,569,129/135,969
  6. Step 6: Final answer
    x = 658,051.24

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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.