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Finding the Third Proportional to 281,940 and 619,702

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Solution

The third proportional to 281,940 and 619,702 is: 1,362,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,940 : 619,702 = 619,702 : x
  2. Step 2: Convert to fraction form
    281,940/619,702 = 619,702/x
  3. Step 3: Cross multiply
    281,940x = 619,702 × 619,702
  4. Step 4: Simplify right side
    281,940x = 384,030,568,804
  5. Step 5: Solve for x
    x = 384,030,568,804/281,940
  6. Step 6: Final answer
    x = 1,362,100.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.