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Finding the Third Proportional to 236,740 and 332,980

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Solution

The third proportional to 236,740 and 332,980 is: 468,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,740 : 332,980 = 332,980 : x
  2. Step 2: Convert to fraction form
    236,740/332,980 = 332,980/x
  3. Step 3: Cross multiply
    236,740x = 332,980 × 332,980
  4. Step 4: Simplify right side
    236,740x = 110,875,680,400
  5. Step 5: Solve for x
    x = 110,875,680,400/236,740
  6. Step 6: Final answer
    x = 468,343.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.