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Finding the Third Proportional to 250,216 and 388,017

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Solution

The third proportional to 250,216 and 388,017 is: 601,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,216 : 388,017 = 388,017 : x
  2. Step 2: Convert to fraction form
    250,216/388,017 = 388,017/x
  3. Step 3: Cross multiply
    250,216x = 388,017 × 388,017
  4. Step 4: Simplify right side
    250,216x = 150,557,192,289
  5. Step 5: Solve for x
    x = 150,557,192,289/250,216
  6. Step 6: Final answer
    x = 601,708.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.