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Finding the Third Proportional to 324,630.75 and 485,128.75

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Solution

The third proportional to 324,630.75 and 485,128.75 is: 724,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,630.75 : 485,128.75 = 485,128.75 : x
  2. Step 2: Convert to fraction form
    324,630.75/485,128.75 = 485,128.75/x
  3. Step 3: Cross multiply
    324,630.75x = 485,128.75 × 485,128.75
  4. Step 4: Simplify right side
    324,630.75x = 235,349,904,076.56
  5. Step 5: Solve for x
    x = 235,349,904,076.56/324,630.75
  6. Step 6: Final answer
    x = 724,977.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.