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Finding the Third Proportional to 189,474 and 407,604

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Solution

The third proportional to 189,474 and 407,604 is: 876,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,474 : 407,604 = 407,604 : x
  2. Step 2: Convert to fraction form
    189,474/407,604 = 407,604/x
  3. Step 3: Cross multiply
    189,474x = 407,604 × 407,604
  4. Step 4: Simplify right side
    189,474x = 166,141,020,816
  5. Step 5: Solve for x
    x = 166,141,020,816/189,474
  6. Step 6: Final answer
    x = 876,853.93

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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.