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Finding the Third Proportional to 133,990 and 294,278

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Solution

The third proportional to 133,990 and 294,278 is: 646,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,990 : 294,278 = 294,278 : x
  2. Step 2: Convert to fraction form
    133,990/294,278 = 294,278/x
  3. Step 3: Cross multiply
    133,990x = 294,278 × 294,278
  4. Step 4: Simplify right side
    133,990x = 86,599,541,284
  5. Step 5: Solve for x
    x = 86,599,541,284/133,990
  6. Step 6: Final answer
    x = 646,313.47

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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.