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Finding the Third Proportional to 91,989 and 203,630.63

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Solution

The third proportional to 91,989 and 203,630.63 is: 450,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,989 : 203,630.63 = 203,630.63 : x
  2. Step 2: Convert to fraction form
    91,989/203,630.63 = 203,630.63/x
  3. Step 3: Cross multiply
    91,989x = 203,630.63 × 203,630.63
  4. Step 4: Simplify right side
    91,989x = 41,465,431,437.89
  5. Step 5: Solve for x
    x = 41,465,431,437.89/91,989
  6. Step 6: Final answer
    x = 450,765.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.