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Finding the Third Proportional to 505,190 and 1,115,780

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Solution

The third proportional to 505,190 and 1,115,780 is: 2,464,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,190 : 1,115,780 = 1,115,780 : x
  2. Step 2: Convert to fraction form
    505,190/1,115,780 = 1,115,780/x
  3. Step 3: Cross multiply
    505,190x = 1,115,780 × 1,115,780
  4. Step 4: Simplify right side
    505,190x = 1,244,965,008,400
  5. Step 5: Solve for x
    x = 1,244,965,008,400/505,190
  6. Step 6: Final answer
    x = 2,464,350.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.