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Finding the Third Proportional to 189,078 and 282,285

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Solution

The third proportional to 189,078 and 282,285 is: 421,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,078 : 282,285 = 282,285 : x
  2. Step 2: Convert to fraction form
    189,078/282,285 = 282,285/x
  3. Step 3: Cross multiply
    189,078x = 282,285 × 282,285
  4. Step 4: Simplify right side
    189,078x = 79,684,821,225
  5. Step 5: Solve for x
    x = 79,684,821,225/189,078
  6. Step 6: Final answer
    x = 421,438.88

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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.