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Finding the Third Proportional to 300,823 and 668,888

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Solution

The third proportional to 300,823 and 668,888 is: 1,487,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,823 : 668,888 = 668,888 : x
  2. Step 2: Convert to fraction form
    300,823/668,888 = 668,888/x
  3. Step 3: Cross multiply
    300,823x = 668,888 × 668,888
  4. Step 4: Simplify right side
    300,823x = 447,411,156,544
  5. Step 5: Solve for x
    x = 447,411,156,544/300,823
  6. Step 6: Final answer
    x = 1,487,290.39

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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.