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Finding the Third Proportional to 298,830 and 449,382

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Solution

The third proportional to 298,830 and 449,382 is: 675,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,830 : 449,382 = 449,382 : x
  2. Step 2: Convert to fraction form
    298,830/449,382 = 449,382/x
  3. Step 3: Cross multiply
    298,830x = 449,382 × 449,382
  4. Step 4: Simplify right side
    298,830x = 201,944,181,924
  5. Step 5: Solve for x
    x = 201,944,181,924/298,830
  6. Step 6: Final answer
    x = 675,782.83

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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.