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Finding the Third Proportional to 285,106 and 617,266

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Solution

The third proportional to 285,106 and 617,266 is: 1,336,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,106 : 617,266 = 617,266 : x
  2. Step 2: Convert to fraction form
    285,106/617,266 = 617,266/x
  3. Step 3: Cross multiply
    285,106x = 617,266 × 617,266
  4. Step 4: Simplify right side
    285,106x = 381,017,314,756
  5. Step 5: Solve for x
    x = 381,017,314,756/285,106
  6. Step 6: Final answer
    x = 1,336,405.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.