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Finding the Third Proportional to 140,138 and 211,665

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Solution

The third proportional to 140,138 and 211,665 is: 319,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,138 : 211,665 = 211,665 : x
  2. Step 2: Convert to fraction form
    140,138/211,665 = 211,665/x
  3. Step 3: Cross multiply
    140,138x = 211,665 × 211,665
  4. Step 4: Simplify right side
    140,138x = 44,802,072,225
  5. Step 5: Solve for x
    x = 44,802,072,225/140,138
  6. Step 6: Final answer
    x = 319,699.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.