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Finding the Third Proportional to 189,576 and 284,844

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Solution

The third proportional to 189,576 and 284,844 is: 427,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,576 : 284,844 = 284,844 : x
  2. Step 2: Convert to fraction form
    189,576/284,844 = 284,844/x
  3. Step 3: Cross multiply
    189,576x = 284,844 × 284,844
  4. Step 4: Simplify right side
    189,576x = 81,136,104,336
  5. Step 5: Solve for x
    x = 81,136,104,336/189,576
  6. Step 6: Final answer
    x = 427,987.22

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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.