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Finding the Third Proportional to 298,542 and 447,629

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Solution

The third proportional to 298,542 and 447,629 is: 671,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,542 : 447,629 = 447,629 : x
  2. Step 2: Convert to fraction form
    298,542/447,629 = 447,629/x
  3. Step 3: Cross multiply
    298,542x = 447,629 × 447,629
  4. Step 4: Simplify right side
    298,542x = 200,371,721,641
  5. Step 5: Solve for x
    x = 200,371,721,641/298,542
  6. Step 6: Final answer
    x = 671,167.61

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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.