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Finding the Third Proportional to 311,986 and 446,155

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Solution

The third proportional to 311,986 and 446,155 is: 638,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,986 : 446,155 = 446,155 : x
  2. Step 2: Convert to fraction form
    311,986/446,155 = 446,155/x
  3. Step 3: Cross multiply
    311,986x = 446,155 × 446,155
  4. Step 4: Simplify right side
    311,986x = 199,054,284,025
  5. Step 5: Solve for x
    x = 199,054,284,025/311,986
  6. Step 6: Final answer
    x = 638,023.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.