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Finding the Third Proportional to 301,686 and 447,310

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Solution

The third proportional to 301,686 and 447,310 is: 663,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,686 : 447,310 = 447,310 : x
  2. Step 2: Convert to fraction form
    301,686/447,310 = 447,310/x
  3. Step 3: Cross multiply
    301,686x = 447,310 × 447,310
  4. Step 4: Simplify right side
    301,686x = 200,086,236,100
  5. Step 5: Solve for x
    x = 200,086,236,100/301,686
  6. Step 6: Final answer
    x = 663,226.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.