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Finding the Third Proportional to 180,988 and 397,668

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Solution

The third proportional to 180,988 and 397,668 is: 873,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,988 : 397,668 = 397,668 : x
  2. Step 2: Convert to fraction form
    180,988/397,668 = 397,668/x
  3. Step 3: Cross multiply
    180,988x = 397,668 × 397,668
  4. Step 4: Simplify right side
    180,988x = 158,139,838,224
  5. Step 5: Solve for x
    x = 158,139,838,224/180,988
  6. Step 6: Final answer
    x = 873,758.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.