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Finding the Third Proportional to 189,600 and 284,886

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Solution

The third proportional to 189,600 and 284,886 is: 428,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,600 : 284,886 = 284,886 : x
  2. Step 2: Convert to fraction form
    189,600/284,886 = 284,886/x
  3. Step 3: Cross multiply
    189,600x = 284,886 × 284,886
  4. Step 4: Simplify right side
    189,600x = 81,160,032,996
  5. Step 5: Solve for x
    x = 81,160,032,996/189,600
  6. Step 6: Final answer
    x = 428,059.25

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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.