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Finding the Third Proportional to 189,384.75 and 408,815.25

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Solution

The third proportional to 189,384.75 and 408,815.25 is: 882,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,384.75 : 408,815.25 = 408,815.25 : x
  2. Step 2: Convert to fraction form
    189,384.75/408,815.25 = 408,815.25/x
  3. Step 3: Cross multiply
    189,384.75x = 408,815.25 × 408,815.25
  4. Step 4: Simplify right side
    189,384.75x = 167,129,908,632.56
  5. Step 5: Solve for x
    x = 167,129,908,632.56/189,384.75
  6. Step 6: Final answer
    x = 882,488.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.