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Finding the Third Proportional to 133,255.50 and 294,540

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Solution

The third proportional to 133,255.50 and 294,540 is: 651,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,255.50 : 294,540 = 294,540 : x
  2. Step 2: Convert to fraction form
    133,255.50/294,540 = 294,540/x
  3. Step 3: Cross multiply
    133,255.50x = 294,540 × 294,540
  4. Step 4: Simplify right side
    133,255.50x = 86,753,811,600
  5. Step 5: Solve for x
    x = 86,753,811,600/133,255.50
  6. Step 6: Final answer
    x = 651,033.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.