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Finding the Third Proportional to 189,189 and 407,079

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Solution

The third proportional to 189,189 and 407,079 is: 875,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,189 : 407,079 = 407,079 : x
  2. Step 2: Convert to fraction form
    189,189/407,079 = 407,079/x
  3. Step 3: Cross multiply
    189,189x = 407,079 × 407,079
  4. Step 4: Simplify right side
    189,189x = 165,713,312,241
  5. Step 5: Solve for x
    x = 165,713,312,241/189,189
  6. Step 6: Final answer
    x = 875,914.10

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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.