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Finding the Third Proportional to 300,298 and 652,868

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Solution

The third proportional to 300,298 and 652,868 is: 1,419,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,298 : 652,868 = 652,868 : x
  2. Step 2: Convert to fraction form
    300,298/652,868 = 652,868/x
  3. Step 3: Cross multiply
    300,298x = 652,868 × 652,868
  4. Step 4: Simplify right side
    300,298x = 426,236,625,424
  5. Step 5: Solve for x
    x = 426,236,625,424/300,298
  6. Step 6: Final answer
    x = 1,419,378.84

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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.