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Finding the Third Proportional to 295,408 and 445,821

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Solution

The third proportional to 295,408 and 445,821 is: 672,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,408 : 445,821 = 445,821 : x
  2. Step 2: Convert to fraction form
    295,408/445,821 = 445,821/x
  3. Step 3: Cross multiply
    295,408x = 445,821 × 445,821
  4. Step 4: Simplify right side
    295,408x = 198,756,364,041
  5. Step 5: Solve for x
    x = 198,756,364,041/295,408
  6. Step 6: Final answer
    x = 672,819.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.