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Finding the Third Proportional to 133,988 and 294,274

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Solution

The third proportional to 133,988 and 294,274 is: 646,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,988 : 294,274 = 294,274 : x
  2. Step 2: Convert to fraction form
    133,988/294,274 = 294,274/x
  3. Step 3: Cross multiply
    133,988x = 294,274 × 294,274
  4. Step 4: Simplify right side
    133,988x = 86,597,187,076
  5. Step 5: Solve for x
    x = 86,597,187,076/133,988
  6. Step 6: Final answer
    x = 646,305.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.