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Finding the Third Proportional to 311,674.50 and 671,010.75

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Solution

The third proportional to 311,674.50 and 671,010.75 is: 1,444,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,674.50 : 671,010.75 = 671,010.75 : x
  2. Step 2: Convert to fraction form
    311,674.50/671,010.75 = 671,010.75/x
  3. Step 3: Cross multiply
    311,674.50x = 671,010.75 × 671,010.75
  4. Step 4: Simplify right side
    311,674.50x = 450,255,426,615.56
  5. Step 5: Solve for x
    x = 450,255,426,615.56/311,674.50
  6. Step 6: Final answer
    x = 1,444,633.51

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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.