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Finding the Third Proportional to 316,126 and 691,266

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Solution

The third proportional to 316,126 and 691,266 is: 1,511,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,126 : 691,266 = 691,266 : x
  2. Step 2: Convert to fraction form
    316,126/691,266 = 691,266/x
  3. Step 3: Cross multiply
    316,126x = 691,266 × 691,266
  4. Step 4: Simplify right side
    316,126x = 477,848,682,756
  5. Step 5: Solve for x
    x = 477,848,682,756/316,126
  6. Step 6: Final answer
    x = 1,511,576.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.