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Finding the Third Proportional to 298,968 and 447,627

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Solution

The third proportional to 298,968 and 447,627 is: 670,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,968 : 447,627 = 447,627 : x
  2. Step 2: Convert to fraction form
    298,968/447,627 = 447,627/x
  3. Step 3: Cross multiply
    298,968x = 447,627 × 447,627
  4. Step 4: Simplify right side
    298,968x = 200,369,931,129
  5. Step 5: Solve for x
    x = 200,369,931,129/298,968
  6. Step 6: Final answer
    x = 670,205.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.