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Finding the Third Proportional to 189,543 and 408,462

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Solution

The third proportional to 189,543 and 408,462 is: 880,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,543 : 408,462 = 408,462 : x
  2. Step 2: Convert to fraction form
    189,543/408,462 = 408,462/x
  3. Step 3: Cross multiply
    189,543x = 408,462 × 408,462
  4. Step 4: Simplify right side
    189,543x = 166,841,205,444
  5. Step 5: Solve for x
    x = 166,841,205,444/189,543
  6. Step 6: Final answer
    x = 880,228.79

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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.