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Finding the Third Proportional to 299,162 and 447,730

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Solution

The third proportional to 299,162 and 447,730 is: 670,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,162 : 447,730 = 447,730 : x
  2. Step 2: Convert to fraction form
    299,162/447,730 = 447,730/x
  3. Step 3: Cross multiply
    299,162x = 447,730 × 447,730
  4. Step 4: Simplify right side
    299,162x = 200,462,152,900
  5. Step 5: Solve for x
    x = 200,462,152,900/299,162
  6. Step 6: Final answer
    x = 670,078.93

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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.