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Finding the Third Proportional to 505,240 and 1,080,504

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Solution

The third proportional to 505,240 and 1,080,504 is: 2,310,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,240 : 1,080,504 = 1,080,504 : x
  2. Step 2: Convert to fraction form
    505,240/1,080,504 = 1,080,504/x
  3. Step 3: Cross multiply
    505,240x = 1,080,504 × 1,080,504
  4. Step 4: Simplify right side
    505,240x = 1,167,488,894,016
  5. Step 5: Solve for x
    x = 1,167,488,894,016/505,240
  6. Step 6: Final answer
    x = 2,310,761.01

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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.