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Finding the Third Proportional to 311,989 and 638,758

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Solution

The third proportional to 311,989 and 638,758 is: 1,307,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,989 : 638,758 = 638,758 : x
  2. Step 2: Convert to fraction form
    311,989/638,758 = 638,758/x
  3. Step 3: Cross multiply
    311,989x = 638,758 × 638,758
  4. Step 4: Simplify right side
    311,989x = 408,011,782,564
  5. Step 5: Solve for x
    x = 408,011,782,564/311,989
  6. Step 6: Final answer
    x = 1,307,776.18

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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.