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Finding the Third Proportional to 243,183 and 388,489

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Solution

The third proportional to 243,183 and 388,489 is: 620,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,183 : 388,489 = 388,489 : x
  2. Step 2: Convert to fraction form
    243,183/388,489 = 388,489/x
  3. Step 3: Cross multiply
    243,183x = 388,489 × 388,489
  4. Step 4: Simplify right side
    243,183x = 150,923,703,121
  5. Step 5: Solve for x
    x = 150,923,703,121/243,183
  6. Step 6: Final answer
    x = 620,617.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.