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Finding the Third Proportional to 189,813 and 412,840

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Solution

The third proportional to 189,813 and 412,840 is: 897,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,813 : 412,840 = 412,840 : x
  2. Step 2: Convert to fraction form
    189,813/412,840 = 412,840/x
  3. Step 3: Cross multiply
    189,813x = 412,840 × 412,840
  4. Step 4: Simplify right side
    189,813x = 170,436,865,600
  5. Step 5: Solve for x
    x = 170,436,865,600/189,813
  6. Step 6: Final answer
    x = 897,919.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.