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Finding the Third Proportional to 119,756 and 189,840

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Solution

The third proportional to 119,756 and 189,840 is: 300,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,756 : 189,840 = 189,840 : x
  2. Step 2: Convert to fraction form
    119,756/189,840 = 189,840/x
  3. Step 3: Cross multiply
    119,756x = 189,840 × 189,840
  4. Step 4: Simplify right side
    119,756x = 36,039,225,600
  5. Step 5: Solve for x
    x = 36,039,225,600/119,756
  6. Step 6: Final answer
    x = 300,938.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.