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Finding the Third Proportional to 138,418.88 and 197,937.56

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Solution

The third proportional to 138,418.88 and 197,937.56 is: 283,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,418.88 : 197,937.56 = 197,937.56 : x
  2. Step 2: Convert to fraction form
    138,418.88/197,937.56 = 197,937.56/x
  3. Step 3: Cross multiply
    138,418.88x = 197,937.56 × 197,937.56
  4. Step 4: Simplify right side
    138,418.88x = 39,179,278,648.44
  5. Step 5: Solve for x
    x = 39,179,278,648.44/138,418.88
  6. Step 6: Final answer
    x = 283,048.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.