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Finding the Third Proportional to 43,050 and 92,896

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Solution

The third proportional to 43,050 and 92,896 is: 200,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,050 : 92,896 = 92,896 : x
  2. Step 2: Convert to fraction form
    43,050/92,896 = 92,896/x
  3. Step 3: Cross multiply
    43,050x = 92,896 × 92,896
  4. Step 4: Simplify right side
    43,050x = 8,629,666,816
  5. Step 5: Solve for x
    x = 8,629,666,816/43,050
  6. Step 6: Final answer
    x = 200,456.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.