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Finding the Third Proportional to 150,330 and 324,157

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Solution

The third proportional to 150,330 and 324,157 is: 698,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,330 : 324,157 = 324,157 : x
  2. Step 2: Convert to fraction form
    150,330/324,157 = 324,157/x
  3. Step 3: Cross multiply
    150,330x = 324,157 × 324,157
  4. Step 4: Simplify right side
    150,330x = 105,077,760,649
  5. Step 5: Solve for x
    x = 105,077,760,649/150,330
  6. Step 6: Final answer
    x = 698,980.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.