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Finding the Third Proportional to 388,126 and 617,181

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Solution

The third proportional to 388,126 and 617,181 is: 981,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,126 : 617,181 = 617,181 : x
  2. Step 2: Convert to fraction form
    388,126/617,181 = 617,181/x
  3. Step 3: Cross multiply
    388,126x = 617,181 × 617,181
  4. Step 4: Simplify right side
    388,126x = 380,912,386,761
  5. Step 5: Solve for x
    x = 380,912,386,761/388,126
  6. Step 6: Final answer
    x = 981,414.25

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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.