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Finding the Third Proportional to 256,075 and 560,936

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Solution

The third proportional to 256,075 and 560,936 is: 1,228,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,075 : 560,936 = 560,936 : x
  2. Step 2: Convert to fraction form
    256,075/560,936 = 560,936/x
  3. Step 3: Cross multiply
    256,075x = 560,936 × 560,936
  4. Step 4: Simplify right side
    256,075x = 314,649,196,096
  5. Step 5: Solve for x
    x = 314,649,196,096/256,075
  6. Step 6: Final answer
    x = 1,228,738.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.