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Finding the Third Proportional to 208,100 and 311,580

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Solution

The third proportional to 208,100 and 311,580 is: 466,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,100 : 311,580 = 311,580 : x
  2. Step 2: Convert to fraction form
    208,100/311,580 = 311,580/x
  3. Step 3: Cross multiply
    208,100x = 311,580 × 311,580
  4. Step 4: Simplify right side
    208,100x = 97,082,096,400
  5. Step 5: Solve for x
    x = 97,082,096,400/208,100
  6. Step 6: Final answer
    x = 466,516.56

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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.