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Finding the Third Proportional to 208,180 and 311,700

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Solution

The third proportional to 208,180 and 311,700 is: 466,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,180 : 311,700 = 311,700 : x
  2. Step 2: Convert to fraction form
    208,180/311,700 = 311,700/x
  3. Step 3: Cross multiply
    208,180x = 311,700 × 311,700
  4. Step 4: Simplify right side
    208,180x = 97,156,890,000
  5. Step 5: Solve for x
    x = 97,156,890,000/208,180
  6. Step 6: Final answer
    x = 466,696.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.