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Finding the Third Proportional to 156,669.75 and 321,635.25

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Solution

The third proportional to 156,669.75 and 321,635.25 is: 660,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,669.75 : 321,635.25 = 321,635.25 : x
  2. Step 2: Convert to fraction form
    156,669.75/321,635.25 = 321,635.25/x
  3. Step 3: Cross multiply
    156,669.75x = 321,635.25 × 321,635.25
  4. Step 4: Simplify right side
    156,669.75x = 103,449,234,042.56
  5. Step 5: Solve for x
    x = 103,449,234,042.56/156,669.75
  6. Step 6: Final answer
    x = 660,301.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.