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Finding the Third Proportional to 208,102.50 and 311,581.13

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Solution

The third proportional to 208,102.50 and 311,581.13 is: 466,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,102.50 : 311,581.13 = 311,581.13 : x
  2. Step 2: Convert to fraction form
    208,102.50/311,581.13 = 311,581.13/x
  3. Step 3: Cross multiply
    208,102.50x = 311,581.13 × 311,581.13
  4. Step 4: Simplify right side
    208,102.50x = 97,082,797,456.27
  5. Step 5: Solve for x
    x = 97,082,797,456.27/208,102.50
  6. Step 6: Final answer
    x = 466,514.33

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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.