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Finding the Third Proportional to 211,814 and 311,235

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Solution

The third proportional to 211,814 and 311,235 is: 457,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,814 : 311,235 = 311,235 : x
  2. Step 2: Convert to fraction form
    211,814/311,235 = 311,235/x
  3. Step 3: Cross multiply
    211,814x = 311,235 × 311,235
  4. Step 4: Simplify right side
    211,814x = 96,867,225,225
  5. Step 5: Solve for x
    x = 96,867,225,225/211,814
  6. Step 6: Final answer
    x = 457,322.11

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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.