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Finding the Third Proportional to 234,103 and 505,080

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Solution

The third proportional to 234,103 and 505,080 is: 1,089,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,103 : 505,080 = 505,080 : x
  2. Step 2: Convert to fraction form
    234,103/505,080 = 505,080/x
  3. Step 3: Cross multiply
    234,103x = 505,080 × 505,080
  4. Step 4: Simplify right side
    234,103x = 255,105,806,400
  5. Step 5: Solve for x
    x = 255,105,806,400/234,103
  6. Step 6: Final answer
    x = 1,089,716.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.