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Finding the Third Proportional to 208,367 and 311,178

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Solution

The third proportional to 208,367 and 311,178 is: 464,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,367 : 311,178 = 311,178 : x
  2. Step 2: Convert to fraction form
    208,367/311,178 = 311,178/x
  3. Step 3: Cross multiply
    208,367x = 311,178 × 311,178
  4. Step 4: Simplify right side
    208,367x = 96,831,747,684
  5. Step 5: Solve for x
    x = 96,831,747,684/208,367
  6. Step 6: Final answer
    x = 464,717.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.