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Finding the Third Proportional to 205,920 and 377,668

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Solution

The third proportional to 205,920 and 377,668 is: 692,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,920 : 377,668 = 377,668 : x
  2. Step 2: Convert to fraction form
    205,920/377,668 = 377,668/x
  3. Step 3: Cross multiply
    205,920x = 377,668 × 377,668
  4. Step 4: Simplify right side
    205,920x = 142,633,118,224
  5. Step 5: Solve for x
    x = 142,633,118,224/205,920
  6. Step 6: Final answer
    x = 692,662.77

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.