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Finding the Third Proportional to 276,867 and 407,524

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Solution

The third proportional to 276,867 and 407,524 is: 599,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,867 : 407,524 = 407,524 : x
  2. Step 2: Convert to fraction form
    276,867/407,524 = 407,524/x
  3. Step 3: Cross multiply
    276,867x = 407,524 × 407,524
  4. Step 4: Simplify right side
    276,867x = 166,075,810,576
  5. Step 5: Solve for x
    x = 166,075,810,576/276,867
  6. Step 6: Final answer
    x = 599,839.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.