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Finding the Third Proportional to 235,089 and 505,530

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Solution

The third proportional to 235,089 and 505,530 is: 1,087,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,089 : 505,530 = 505,530 : x
  2. Step 2: Convert to fraction form
    235,089/505,530 = 505,530/x
  3. Step 3: Cross multiply
    235,089x = 505,530 × 505,530
  4. Step 4: Simplify right side
    235,089x = 255,560,580,900
  5. Step 5: Solve for x
    x = 255,560,580,900/235,089
  6. Step 6: Final answer
    x = 1,087,080.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.