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Finding the Third Proportional to 278,808 and 421,668

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Solution

The third proportional to 278,808 and 421,668 is: 637,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,808 : 421,668 = 421,668 : x
  2. Step 2: Convert to fraction form
    278,808/421,668 = 421,668/x
  3. Step 3: Cross multiply
    278,808x = 421,668 × 421,668
  4. Step 4: Simplify right side
    278,808x = 177,803,902,224
  5. Step 5: Solve for x
    x = 177,803,902,224/278,808
  6. Step 6: Final answer
    x = 637,728.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.