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Finding the Third Proportional to 298,970 and 447,630

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Solution

The third proportional to 298,970 and 447,630 is: 670,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,970 : 447,630 = 447,630 : x
  2. Step 2: Convert to fraction form
    298,970/447,630 = 447,630/x
  3. Step 3: Cross multiply
    298,970x = 447,630 × 447,630
  4. Step 4: Simplify right side
    298,970x = 200,372,616,900
  5. Step 5: Solve for x
    x = 200,372,616,900/298,970
  6. Step 6: Final answer
    x = 670,209.78

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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.