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Finding the Third Proportional to 300,476 and 449,778

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Solution

The third proportional to 300,476 and 449,778 is: 673,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,476 : 449,778 = 449,778 : x
  2. Step 2: Convert to fraction form
    300,476/449,778 = 449,778/x
  3. Step 3: Cross multiply
    300,476x = 449,778 × 449,778
  4. Step 4: Simplify right side
    300,476x = 202,300,249,284
  5. Step 5: Solve for x
    x = 202,300,249,284/300,476
  6. Step 6: Final answer
    x = 673,265.92

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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.