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Finding the Third Proportional to 254,908 and 560,144

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Solution

The third proportional to 254,908 and 560,144 is: 1,230,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,908 : 560,144 = 560,144 : x
  2. Step 2: Convert to fraction form
    254,908/560,144 = 560,144/x
  3. Step 3: Cross multiply
    254,908x = 560,144 × 560,144
  4. Step 4: Simplify right side
    254,908x = 313,761,300,736
  5. Step 5: Solve for x
    x = 313,761,300,736/254,908
  6. Step 6: Final answer
    x = 1,230,880.56

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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.