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Finding the Third Proportional to 300,827 and 668,896

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Solution

The third proportional to 300,827 and 668,896 is: 1,487,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,827 : 668,896 = 668,896 : x
  2. Step 2: Convert to fraction form
    300,827/668,896 = 668,896/x
  3. Step 3: Cross multiply
    300,827x = 668,896 × 668,896
  4. Step 4: Simplify right side
    300,827x = 447,421,858,816
  5. Step 5: Solve for x
    x = 447,421,858,816/300,827
  6. Step 6: Final answer
    x = 1,487,306.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.