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Finding the Third Proportional to 312,576 and 684,768

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Solution

The third proportional to 312,576 and 684,768 is: 1,500,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,576 : 684,768 = 684,768 : x
  2. Step 2: Convert to fraction form
    312,576/684,768 = 684,768/x
  3. Step 3: Cross multiply
    312,576x = 684,768 × 684,768
  4. Step 4: Simplify right side
    312,576x = 468,907,213,824
  5. Step 5: Solve for x
    x = 468,907,213,824/312,576
  6. Step 6: Final answer
    x = 1,500,138.25

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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.