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Finding the Third Proportional to 131,682 and 285,844

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Solution

The third proportional to 131,682 and 285,844 is: 620,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,682 : 285,844 = 285,844 : x
  2. Step 2: Convert to fraction form
    131,682/285,844 = 285,844/x
  3. Step 3: Cross multiply
    131,682x = 285,844 × 285,844
  4. Step 4: Simplify right side
    131,682x = 81,706,792,336
  5. Step 5: Solve for x
    x = 81,706,792,336/131,682
  6. Step 6: Final answer
    x = 620,485.66

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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.