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Finding the Third Proportional to 332,986 and 728,140

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Solution

The third proportional to 332,986 and 728,140 is: 1,592,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,986 : 728,140 = 728,140 : x
  2. Step 2: Convert to fraction form
    332,986/728,140 = 728,140/x
  3. Step 3: Cross multiply
    332,986x = 728,140 × 728,140
  4. Step 4: Simplify right side
    332,986x = 530,187,859,600
  5. Step 5: Solve for x
    x = 530,187,859,600/332,986
  6. Step 6: Final answer
    x = 1,592,222.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.