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Finding the Third Proportional to 269,900 and 428,880

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Solution

The third proportional to 269,900 and 428,880 is: 681,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,900 : 428,880 = 428,880 : x
  2. Step 2: Convert to fraction form
    269,900/428,880 = 428,880/x
  3. Step 3: Cross multiply
    269,900x = 428,880 × 428,880
  4. Step 4: Simplify right side
    269,900x = 183,938,054,400
  5. Step 5: Solve for x
    x = 183,938,054,400/269,900
  6. Step 6: Final answer
    x = 681,504.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.