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Finding the Third Proportional to 135,266.63 and 211,087.69

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Solution

The third proportional to 135,266.63 and 211,087.69 is: 329,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,266.63 : 211,087.69 = 211,087.69 : x
  2. Step 2: Convert to fraction form
    135,266.63/211,087.69 = 211,087.69/x
  3. Step 3: Cross multiply
    135,266.63x = 211,087.69 × 211,087.69
  4. Step 4: Simplify right side
    135,266.63x = 44,558,011,814.10
  5. Step 5: Solve for x
    x = 44,558,011,814.10/135,266.63
  6. Step 6: Final answer
    x = 329,408.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.