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Finding the Third Proportional to 91,391.63 and 213,534.75

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Solution

The third proportional to 91,391.63 and 213,534.75 is: 498,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,391.63 : 213,534.75 = 213,534.75 : x
  2. Step 2: Convert to fraction form
    91,391.63/213,534.75 = 213,534.75/x
  3. Step 3: Cross multiply
    91,391.63x = 213,534.75 × 213,534.75
  4. Step 4: Simplify right side
    91,391.63x = 45,597,089,457.56
  5. Step 5: Solve for x
    x = 45,597,089,457.56/91,391.63
  6. Step 6: Final answer
    x = 498,919.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.