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Finding the Third Proportional to 311,135 and 682,534

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Solution

The third proportional to 311,135 and 682,534 is: 1,497,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,135 : 682,534 = 682,534 : x
  2. Step 2: Convert to fraction form
    311,135/682,534 = 682,534/x
  3. Step 3: Cross multiply
    311,135x = 682,534 × 682,534
  4. Step 4: Simplify right side
    311,135x = 465,852,661,156
  5. Step 5: Solve for x
    x = 465,852,661,156/311,135
  6. Step 6: Final answer
    x = 1,497,268.58

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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.