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Finding the Third Proportional to 90,909 and 197,840.25

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Solution

The third proportional to 90,909 and 197,840.25 is: 430,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,909 : 197,840.25 = 197,840.25 : x
  2. Step 2: Convert to fraction form
    90,909/197,840.25 = 197,840.25/x
  3. Step 3: Cross multiply
    90,909x = 197,840.25 × 197,840.25
  4. Step 4: Simplify right side
    90,909x = 39,140,764,520.06
  5. Step 5: Solve for x
    x = 39,140,764,520.06/90,909
  6. Step 6: Final answer
    x = 430,548.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.