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Finding the Third Proportional to 286,713 and 443,205

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Solution

The third proportional to 286,713 and 443,205 is: 685,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,713 : 443,205 = 443,205 : x
  2. Step 2: Convert to fraction form
    286,713/443,205 = 443,205/x
  3. Step 3: Cross multiply
    286,713x = 443,205 × 443,205
  4. Step 4: Simplify right side
    286,713x = 196,430,672,025
  5. Step 5: Solve for x
    x = 196,430,672,025/286,713
  6. Step 6: Final answer
    x = 685,112.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.