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Finding the Third Proportional to 300,686 and 653,833

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Solution

The third proportional to 300,686 and 653,833 is: 1,421,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,686 : 653,833 = 653,833 : x
  2. Step 2: Convert to fraction form
    300,686/653,833 = 653,833/x
  3. Step 3: Cross multiply
    300,686x = 653,833 × 653,833
  4. Step 4: Simplify right side
    300,686x = 427,497,591,889
  5. Step 5: Solve for x
    x = 427,497,591,889/300,686
  6. Step 6: Final answer
    x = 1,421,740.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.