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Finding the Third Proportional to 505,366 and 1,094,762

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Solution

The third proportional to 505,366 and 1,094,762 is: 2,371,556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,366 : 1,094,762 = 1,094,762 : x
  2. Step 2: Convert to fraction form
    505,366/1,094,762 = 1,094,762/x
  3. Step 3: Cross multiply
    505,366x = 1,094,762 × 1,094,762
  4. Step 4: Simplify right side
    505,366x = 1,198,503,836,644
  5. Step 5: Solve for x
    x = 1,198,503,836,644/505,366
  6. Step 6: Final answer
    x = 2,371,556.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.