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Finding the Third Proportional to 189,698 and 407,044

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Solution

The third proportional to 189,698 and 407,044 is: 873,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,698 : 407,044 = 407,044 : x
  2. Step 2: Convert to fraction form
    189,698/407,044 = 407,044/x
  3. Step 3: Cross multiply
    189,698x = 407,044 × 407,044
  4. Step 4: Simplify right side
    189,698x = 165,684,817,936
  5. Step 5: Solve for x
    x = 165,684,817,936/189,698
  6. Step 6: Final answer
    x = 873,413.63

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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.