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Finding the Third Proportional to 189,190 and 282,145

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Solution

The third proportional to 189,190 and 282,145 is: 420,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,190 : 282,145 = 282,145 : x
  2. Step 2: Convert to fraction form
    189,190/282,145 = 282,145/x
  3. Step 3: Cross multiply
    189,190x = 282,145 × 282,145
  4. Step 4: Simplify right side
    189,190x = 79,605,801,025
  5. Step 5: Solve for x
    x = 79,605,801,025/189,190
  6. Step 6: Final answer
    x = 420,771.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.