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Finding the Third Proportional to 140,290 and 303,176

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Solution

The third proportional to 140,290 and 303,176 is: 655,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,290 : 303,176 = 303,176 : x
  2. Step 2: Convert to fraction form
    140,290/303,176 = 303,176/x
  3. Step 3: Cross multiply
    140,290x = 303,176 × 303,176
  4. Step 4: Simplify right side
    140,290x = 91,915,686,976
  5. Step 5: Solve for x
    x = 91,915,686,976/140,290
  6. Step 6: Final answer
    x = 655,183.46

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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.