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Finding the Third Proportional to 189,810 and 285,956

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Solution

The third proportional to 189,810 and 285,956 is: 430,803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,810 : 285,956 = 285,956 : x
  2. Step 2: Convert to fraction form
    189,810/285,956 = 285,956/x
  3. Step 3: Cross multiply
    189,810x = 285,956 × 285,956
  4. Step 4: Simplify right side
    189,810x = 81,770,833,936
  5. Step 5: Solve for x
    x = 81,770,833,936/189,810
  6. Step 6: Final answer
    x = 430,803.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.