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Finding the Third Proportional to 133,089.75 and 291,942.75

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Solution

The third proportional to 133,089.75 and 291,942.75 is: 640,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089.75 : 291,942.75 = 291,942.75 : x
  2. Step 2: Convert to fraction form
    133,089.75/291,942.75 = 291,942.75/x
  3. Step 3: Cross multiply
    133,089.75x = 291,942.75 × 291,942.75
  4. Step 4: Simplify right side
    133,089.75x = 85,230,569,277.56
  5. Step 5: Solve for x
    x = 85,230,569,277.56/133,089.75
  6. Step 6: Final answer
    x = 640,399.20

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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.