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Finding the Third Proportional to 300,789 and 668,819

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Solution

The third proportional to 300,789 and 668,819 is: 1,487,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,789 : 668,819 = 668,819 : x
  2. Step 2: Convert to fraction form
    300,789/668,819 = 668,819/x
  3. Step 3: Cross multiply
    300,789x = 668,819 × 668,819
  4. Step 4: Simplify right side
    300,789x = 447,318,854,761
  5. Step 5: Solve for x
    x = 447,318,854,761/300,789
  6. Step 6: Final answer
    x = 1,487,151.64

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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.