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Finding the Third Proportional to 298,550 and 447,638

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Solution

The third proportional to 298,550 and 447,638 is: 671,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,550 : 447,638 = 447,638 : x
  2. Step 2: Convert to fraction form
    298,550/447,638 = 447,638/x
  3. Step 3: Cross multiply
    298,550x = 447,638 × 447,638
  4. Step 4: Simplify right side
    298,550x = 200,379,779,044
  5. Step 5: Solve for x
    x = 200,379,779,044/298,550
  6. Step 6: Final answer
    x = 671,176.62

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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.