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Finding the Third Proportional to 377,478 and 550,647

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Solution

The third proportional to 377,478 and 550,647 is: 803,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,478 : 550,647 = 550,647 : x
  2. Step 2: Convert to fraction form
    377,478/550,647 = 550,647/x
  3. Step 3: Cross multiply
    377,478x = 550,647 × 550,647
  4. Step 4: Simplify right side
    377,478x = 303,212,118,609
  5. Step 5: Solve for x
    x = 303,212,118,609/377,478
  6. Step 6: Final answer
    x = 803,257.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.