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Finding the Third Proportional to 311,906 and 486,075

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Solution

The third proportional to 311,906 and 486,075 is: 757,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906 : 486,075 = 486,075 : x
  2. Step 2: Convert to fraction form
    311,906/486,075 = 486,075/x
  3. Step 3: Cross multiply
    311,906x = 486,075 × 486,075
  4. Step 4: Simplify right side
    311,906x = 236,268,905,625
  5. Step 5: Solve for x
    x = 236,268,905,625/311,906
  6. Step 6: Final answer
    x = 757,500.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.