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Finding the Third Proportional to 133,056 and 296,144

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Solution

The third proportional to 133,056 and 296,144 is: 659,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,056 : 296,144 = 296,144 : x
  2. Step 2: Convert to fraction form
    133,056/296,144 = 296,144/x
  3. Step 3: Cross multiply
    133,056x = 296,144 × 296,144
  4. Step 4: Simplify right side
    133,056x = 87,701,268,736
  5. Step 5: Solve for x
    x = 87,701,268,736/133,056
  6. Step 6: Final answer
    x = 659,130.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.