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Finding the Third Proportional to 311,748.75 and 671,581.13

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Solution

The third proportional to 311,748.75 and 671,581.13 is: 1,446,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,748.75 : 671,581.13 = 671,581.13 : x
  2. Step 2: Convert to fraction form
    311,748.75/671,581.13 = 671,581.13/x
  3. Step 3: Cross multiply
    311,748.75x = 671,581.13 × 671,581.13
  4. Step 4: Simplify right side
    311,748.75x = 451,021,207,456.27
  5. Step 5: Solve for x
    x = 451,021,207,456.27/311,748.75
  6. Step 6: Final answer
    x = 1,446,745.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.