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Finding the Third Proportional to 311,216 and 678,760

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Solution

The third proportional to 311,216 and 678,760 is: 1,480,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,216 : 678,760 = 678,760 : x
  2. Step 2: Convert to fraction form
    311,216/678,760 = 678,760/x
  3. Step 3: Cross multiply
    311,216x = 678,760 × 678,760
  4. Step 4: Simplify right side
    311,216x = 460,715,137,600
  5. Step 5: Solve for x
    x = 460,715,137,600/311,216
  6. Step 6: Final answer
    x = 1,480,370.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.