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Finding the Third Proportional to 283,183.50 and 428,888

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Solution

The third proportional to 283,183.50 and 428,888 is: 649,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,183.50 : 428,888 = 428,888 : x
  2. Step 2: Convert to fraction form
    283,183.50/428,888 = 428,888/x
  3. Step 3: Cross multiply
    283,183.50x = 428,888 × 428,888
  4. Step 4: Simplify right side
    283,183.50x = 183,944,916,544
  5. Step 5: Solve for x
    x = 183,944,916,544/283,183.50
  6. Step 6: Final answer
    x = 649,560.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.