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Finding the Third Proportional to 301,690 and 447,318

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Solution

The third proportional to 301,690 and 447,318 is: 663,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,690 : 447,318 = 447,318 : x
  2. Step 2: Convert to fraction form
    301,690/447,318 = 447,318/x
  3. Step 3: Cross multiply
    301,690x = 447,318 × 447,318
  4. Step 4: Simplify right side
    301,690x = 200,093,393,124
  5. Step 5: Solve for x
    x = 200,093,393,124/301,690
  6. Step 6: Final answer
    x = 663,241.72

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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.