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Finding the Third Proportional to 189,556 and 285,103

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Solution

The third proportional to 189,556 and 285,103 is: 428,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,556 : 285,103 = 285,103 : x
  2. Step 2: Convert to fraction form
    189,556/285,103 = 285,103/x
  3. Step 3: Cross multiply
    189,556x = 285,103 × 285,103
  4. Step 4: Simplify right side
    189,556x = 81,283,720,609
  5. Step 5: Solve for x
    x = 81,283,720,609/189,556
  6. Step 6: Final answer
    x = 428,811.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.