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Finding the Third Proportional to 300,820 and 668,882

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Solution

The third proportional to 300,820 and 668,882 is: 1,487,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,820 : 668,882 = 668,882 : x
  2. Step 2: Convert to fraction form
    300,820/668,882 = 668,882/x
  3. Step 3: Cross multiply
    300,820x = 668,882 × 668,882
  4. Step 4: Simplify right side
    300,820x = 447,403,129,924
  5. Step 5: Solve for x
    x = 447,403,129,924/300,820
  6. Step 6: Final answer
    x = 1,487,278.54

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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.