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Finding the Third Proportional to 133,232.55 and 204,790.78

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Solution

The third proportional to 133,232.55 and 204,790.78 is: 314,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,232.55 : 204,790.78 = 204,790.78 : x
  2. Step 2: Convert to fraction form
    133,232.55/204,790.78 = 204,790.78/x
  3. Step 3: Cross multiply
    133,232.55x = 204,790.78 × 204,790.78
  4. Step 4: Simplify right side
    133,232.55x = 41,939,264,084.99
  5. Step 5: Solve for x
    x = 41,939,264,084.99/133,232.55
  6. Step 6: Final answer
    x = 314,782.41

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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.