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Finding the Third Proportional to 620,037 and 1,328,647

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Solution

The third proportional to 620,037 and 1,328,647 is: 2,847,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,037 : 1,328,647 = 1,328,647 : x
  2. Step 2: Convert to fraction form
    620,037/1,328,647 = 1,328,647/x
  3. Step 3: Cross multiply
    620,037x = 1,328,647 × 1,328,647
  4. Step 4: Simplify right side
    620,037x = 1,765,302,850,609
  5. Step 5: Solve for x
    x = 1,765,302,850,609/620,037
  6. Step 6: Final answer
    x = 2,847,092.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.