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Finding the Third Proportional to 298,519 and 630,731

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Solution

The third proportional to 298,519 and 630,731 is: 1,332,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,519 : 630,731 = 630,731 : x
  2. Step 2: Convert to fraction form
    298,519/630,731 = 630,731/x
  3. Step 3: Cross multiply
    298,519x = 630,731 × 630,731
  4. Step 4: Simplify right side
    298,519x = 397,821,594,361
  5. Step 5: Solve for x
    x = 397,821,594,361/298,519
  6. Step 6: Final answer
    x = 1,332,650.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.