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Finding the Third Proportional to 311,946.75 and 638,642.25

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Solution

The third proportional to 311,946.75 and 638,642.25 is: 1,307,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,946.75 : 638,642.25 = 638,642.25 : x
  2. Step 2: Convert to fraction form
    311,946.75/638,642.25 = 638,642.25/x
  3. Step 3: Cross multiply
    311,946.75x = 638,642.25 × 638,642.25
  4. Step 4: Simplify right side
    311,946.75x = 407,863,923,485.06
  5. Step 5: Solve for x
    x = 407,863,923,485.06/311,946.75
  6. Step 6: Final answer
    x = 1,307,479.32

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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.