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Finding the Third Proportional to 309,002 and 668,548

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Solution

The third proportional to 309,002 and 668,548 is: 1,446,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,002 : 668,548 = 668,548 : x
  2. Step 2: Convert to fraction form
    309,002/668,548 = 668,548/x
  3. Step 3: Cross multiply
    309,002x = 668,548 × 668,548
  4. Step 4: Simplify right side
    309,002x = 446,956,428,304
  5. Step 5: Solve for x
    x = 446,956,428,304/309,002
  6. Step 6: Final answer
    x = 1,446,451.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.