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Finding the Third Proportional to 358,478 and 550,249

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Solution

The third proportional to 358,478 and 550,249 is: 844,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,478 : 550,249 = 550,249 : x
  2. Step 2: Convert to fraction form
    358,478/550,249 = 550,249/x
  3. Step 3: Cross multiply
    358,478x = 550,249 × 550,249
  4. Step 4: Simplify right side
    358,478x = 302,773,962,001
  5. Step 5: Solve for x
    x = 302,773,962,001/358,478
  6. Step 6: Final answer
    x = 844,609.61

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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.