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Finding the Third Proportional to 275,886 and 370,742

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Solution

The third proportional to 275,886 and 370,742 is: 498,211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,886 : 370,742 = 370,742 : x
  2. Step 2: Convert to fraction form
    275,886/370,742 = 370,742/x
  3. Step 3: Cross multiply
    275,886x = 370,742 × 370,742
  4. Step 4: Simplify right side
    275,886x = 137,449,630,564
  5. Step 5: Solve for x
    x = 137,449,630,564/275,886
  6. Step 6: Final answer
    x = 498,211.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.