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Finding the Third Proportional to 311,985 and 638,752

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Solution

The third proportional to 311,985 and 638,752 is: 1,307,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,985 : 638,752 = 638,752 : x
  2. Step 2: Convert to fraction form
    311,985/638,752 = 638,752/x
  3. Step 3: Cross multiply
    311,985x = 638,752 × 638,752
  4. Step 4: Simplify right side
    311,985x = 408,004,117,504
  5. Step 5: Solve for x
    x = 408,004,117,504/311,985
  6. Step 6: Final answer
    x = 1,307,768.38

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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.