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Finding the Third Proportional to 311,280 and 703,392

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Solution

The third proportional to 311,280 and 703,392 is: 1,589,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,280 : 703,392 = 703,392 : x
  2. Step 2: Convert to fraction form
    311,280/703,392 = 703,392/x
  3. Step 3: Cross multiply
    311,280x = 703,392 × 703,392
  4. Step 4: Simplify right side
    311,280x = 494,760,305,664
  5. Step 5: Solve for x
    x = 494,760,305,664/311,280
  6. Step 6: Final answer
    x = 1,589,438.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.