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Finding the Third Proportional to 311,958 and 638,701

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Solution

The third proportional to 311,958 and 638,701 is: 1,307,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,958 : 638,701 = 638,701 : x
  2. Step 2: Convert to fraction form
    311,958/638,701 = 638,701/x
  3. Step 3: Cross multiply
    311,958x = 638,701 × 638,701
  4. Step 4: Simplify right side
    311,958x = 407,938,967,401
  5. Step 5: Solve for x
    x = 407,938,967,401/311,958
  6. Step 6: Final answer
    x = 1,307,672.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.