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Finding the Third Proportional to 311,075 and 666,211

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Solution

The third proportional to 311,075 and 666,211 is: 1,426,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,075 : 666,211 = 666,211 : x
  2. Step 2: Convert to fraction form
    311,075/666,211 = 666,211/x
  3. Step 3: Cross multiply
    311,075x = 666,211 × 666,211
  4. Step 4: Simplify right side
    311,075x = 443,837,096,521
  5. Step 5: Solve for x
    x = 443,837,096,521/311,075
  6. Step 6: Final answer
    x = 1,426,784.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.