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Finding the Third Proportional to 311,968 and 638,720

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Solution

The third proportional to 311,968 and 638,720 is: 1,307,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,968 : 638,720 = 638,720 : x
  2. Step 2: Convert to fraction form
    311,968/638,720 = 638,720/x
  3. Step 3: Cross multiply
    311,968x = 638,720 × 638,720
  4. Step 4: Simplify right side
    311,968x = 407,963,238,400
  5. Step 5: Solve for x
    x = 407,963,238,400/311,968
  6. Step 6: Final answer
    x = 1,307,708.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.