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Finding the Third Proportional to 275,300 and 420,846

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Solution

The third proportional to 275,300 and 420,846 is: 643,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,300 : 420,846 = 420,846 : x
  2. Step 2: Convert to fraction form
    275,300/420,846 = 420,846/x
  3. Step 3: Cross multiply
    275,300x = 420,846 × 420,846
  4. Step 4: Simplify right side
    275,300x = 177,111,355,716
  5. Step 5: Solve for x
    x = 177,111,355,716/275,300
  6. Step 6: Final answer
    x = 643,339.47

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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.