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Finding the Third Proportional to 300,788 and 668,817

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Solution

The third proportional to 300,788 and 668,817 is: 1,487,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,788 : 668,817 = 668,817 : x
  2. Step 2: Convert to fraction form
    300,788/668,817 = 668,817/x
  3. Step 3: Cross multiply
    300,788x = 668,817 × 668,817
  4. Step 4: Simplify right side
    300,788x = 447,316,179,489
  5. Step 5: Solve for x
    x = 447,316,179,489/300,788
  6. Step 6: Final answer
    x = 1,487,147.69

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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.