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Finding the Third Proportional to 145,328 and 324,670

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Solution

The third proportional to 145,328 and 324,670 is: 725,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,328 : 324,670 = 324,670 : x
  2. Step 2: Convert to fraction form
    145,328/324,670 = 324,670/x
  3. Step 3: Cross multiply
    145,328x = 324,670 × 324,670
  4. Step 4: Simplify right side
    145,328x = 105,410,608,900
  5. Step 5: Solve for x
    x = 105,410,608,900/145,328
  6. Step 6: Final answer
    x = 725,328.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.