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Finding the Third Proportional to 138,964.50 and 211,996.13

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Solution

The third proportional to 138,964.50 and 211,996.13 is: 323,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,964.50 : 211,996.13 = 211,996.13 : x
  2. Step 2: Convert to fraction form
    138,964.50/211,996.13 = 211,996.13/x
  3. Step 3: Cross multiply
    138,964.50x = 211,996.13 × 211,996.13
  4. Step 4: Simplify right side
    138,964.50x = 44,942,357,015.02
  5. Step 5: Solve for x
    x = 44,942,357,015.02/138,964.50
  6. Step 6: Final answer
    x = 323,408.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.