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Finding the Third Proportional to 189,580 and 284,856

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Solution

The third proportional to 189,580 and 284,856 is: 428,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,580 : 284,856 = 284,856 : x
  2. Step 2: Convert to fraction form
    189,580/284,856 = 284,856/x
  3. Step 3: Cross multiply
    189,580x = 284,856 × 284,856
  4. Step 4: Simplify right side
    189,580x = 81,142,940,736
  5. Step 5: Solve for x
    x = 81,142,940,736/189,580
  6. Step 6: Final answer
    x = 428,014.25

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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.