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Finding the Third Proportional to 189,807.75 and 412,828.88

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Solution

The third proportional to 189,807.75 and 412,828.88 is: 897,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,807.75 : 412,828.88 = 412,828.88 : x
  2. Step 2: Convert to fraction form
    189,807.75/412,828.88 = 412,828.88/x
  3. Step 3: Cross multiply
    189,807.75x = 412,828.88 × 412,828.88
  4. Step 4: Simplify right side
    189,807.75x = 170,427,680,033.77
  5. Step 5: Solve for x
    x = 170,427,680,033.77/189,807.75
  6. Step 6: Final answer
    x = 897,896.32

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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.