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Finding the Third Proportional to 214,908 and 505,518

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Solution

The third proportional to 214,908 and 505,518 is: 1,189,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,908 : 505,518 = 505,518 : x
  2. Step 2: Convert to fraction form
    214,908/505,518 = 505,518/x
  3. Step 3: Cross multiply
    214,908x = 505,518 × 505,518
  4. Step 4: Simplify right side
    214,908x = 255,548,448,324
  5. Step 5: Solve for x
    x = 255,548,448,324/214,908
  6. Step 6: Final answer
    x = 1,189,106.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.