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Finding the Third Proportional to 189,658 and 284,991

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Solution

The third proportional to 189,658 and 284,991 is: 428,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,658 : 284,991 = 284,991 : x
  2. Step 2: Convert to fraction form
    189,658/284,991 = 284,991/x
  3. Step 3: Cross multiply
    189,658x = 284,991 × 284,991
  4. Step 4: Simplify right side
    189,658x = 81,219,870,081
  5. Step 5: Solve for x
    x = 81,219,870,081/189,658
  6. Step 6: Final answer
    x = 428,243.84

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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.