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Finding the Third Proportional to 388,133 and 617,192

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Solution

The third proportional to 388,133 and 617,192 is: 981,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,133 : 617,192 = 617,192 : x
  2. Step 2: Convert to fraction form
    388,133/617,192 = 617,192/x
  3. Step 3: Cross multiply
    388,133x = 617,192 × 617,192
  4. Step 4: Simplify right side
    388,133x = 380,925,964,864
  5. Step 5: Solve for x
    x = 380,925,964,864/388,133
  6. Step 6: Final answer
    x = 981,431.53

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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.