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Finding the Third Proportional to 211,158 and 311,138

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Solution

The third proportional to 211,158 and 311,138 is: 458,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,158 : 311,138 = 311,138 : x
  2. Step 2: Convert to fraction form
    211,158/311,138 = 311,138/x
  3. Step 3: Cross multiply
    211,158x = 311,138 × 311,138
  4. Step 4: Simplify right side
    211,158x = 96,806,855,044
  5. Step 5: Solve for x
    x = 96,806,855,044/211,158
  6. Step 6: Final answer
    x = 458,456.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.