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Finding the Third Proportional to 270,640 and 384,668

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Solution

The third proportional to 270,640 and 384,668 is: 546,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,640 : 384,668 = 384,668 : x
  2. Step 2: Convert to fraction form
    270,640/384,668 = 384,668/x
  3. Step 3: Cross multiply
    270,640x = 384,668 × 384,668
  4. Step 4: Simplify right side
    270,640x = 147,969,470,224
  5. Step 5: Solve for x
    x = 147,969,470,224/270,640
  6. Step 6: Final answer
    x = 546,739.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.