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Finding the Third Proportional to 388,183 and 617,267

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Solution

The third proportional to 388,183 and 617,267 is: 981,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,183 : 617,267 = 617,267 : x
  2. Step 2: Convert to fraction form
    388,183/617,267 = 617,267/x
  3. Step 3: Cross multiply
    388,183x = 617,267 × 617,267
  4. Step 4: Simplify right side
    388,183x = 381,018,549,289
  5. Step 5: Solve for x
    x = 381,018,549,289/388,183
  6. Step 6: Final answer
    x = 981,543.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.