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Finding the Third Proportional to 298,983 and 447,651

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Solution

The third proportional to 298,983 and 447,651 is: 670,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,983 : 447,651 = 447,651 : x
  2. Step 2: Convert to fraction form
    298,983/447,651 = 447,651/x
  3. Step 3: Cross multiply
    298,983x = 447,651 × 447,651
  4. Step 4: Simplify right side
    298,983x = 200,391,417,801
  5. Step 5: Solve for x
    x = 200,391,417,801/298,983
  6. Step 6: Final answer
    x = 670,243.52

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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.