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Finding the Third Proportional to 133,440.75 and 205,012.69

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Solution

The third proportional to 133,440.75 and 205,012.69 is: 314,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,440.75 : 205,012.69 = 205,012.69 : x
  2. Step 2: Convert to fraction form
    133,440.75/205,012.69 = 205,012.69/x
  3. Step 3: Cross multiply
    133,440.75x = 205,012.69 × 205,012.69
  4. Step 4: Simplify right side
    133,440.75x = 42,030,202,035.97
  5. Step 5: Solve for x
    x = 42,030,202,035.97/133,440.75
  6. Step 6: Final answer
    x = 314,972.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.