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Finding the Third Proportional to 189,696 and 407,040

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Solution

The third proportional to 189,696 and 407,040 is: 873,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,696 : 407,040 = 407,040 : x
  2. Step 2: Convert to fraction form
    189,696/407,040 = 407,040/x
  3. Step 3: Cross multiply
    189,696x = 407,040 × 407,040
  4. Step 4: Simplify right side
    189,696x = 165,681,561,600
  5. Step 5: Solve for x
    x = 165,681,561,600/189,696
  6. Step 6: Final answer
    x = 873,405.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.