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Finding the Third Proportional to 148,928 and 324,072

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Solution

The third proportional to 148,928 and 324,072 is: 705,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,928 : 324,072 = 324,072 : x
  2. Step 2: Convert to fraction form
    148,928/324,072 = 324,072/x
  3. Step 3: Cross multiply
    148,928x = 324,072 × 324,072
  4. Step 4: Simplify right side
    148,928x = 105,022,661,184
  5. Step 5: Solve for x
    x = 105,022,661,184/148,928
  6. Step 6: Final answer
    x = 705,190.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.