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Finding the Third Proportional to 388,131 and 617,189

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Solution

The third proportional to 388,131 and 617,189 is: 981,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,131 : 617,189 = 617,189 : x
  2. Step 2: Convert to fraction form
    388,131/617,189 = 617,189/x
  3. Step 3: Cross multiply
    388,131x = 617,189 × 617,189
  4. Step 4: Simplify right side
    388,131x = 380,922,261,721
  5. Step 5: Solve for x
    x = 380,922,261,721/388,131
  6. Step 6: Final answer
    x = 981,427.05

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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.