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Finding the Third Proportional to 291,215 and 445,863

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Solution

The third proportional to 291,215 and 445,863 is: 682,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,215 : 445,863 = 445,863 : x
  2. Step 2: Convert to fraction form
    291,215/445,863 = 445,863/x
  3. Step 3: Cross multiply
    291,215x = 445,863 × 445,863
  4. Step 4: Simplify right side
    291,215x = 198,793,814,769
  5. Step 5: Solve for x
    x = 198,793,814,769/291,215
  6. Step 6: Final answer
    x = 682,635.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.