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Finding the Third Proportional to 135,117 and 211,892

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Solution

The third proportional to 135,117 and 211,892 is: 332,291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,117 : 211,892 = 211,892 : x
  2. Step 2: Convert to fraction form
    135,117/211,892 = 211,892/x
  3. Step 3: Cross multiply
    135,117x = 211,892 × 211,892
  4. Step 4: Simplify right side
    135,117x = 44,898,219,664
  5. Step 5: Solve for x
    x = 44,898,219,664/135,117
  6. Step 6: Final answer
    x = 332,291.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.