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Finding the Third Proportional to 189,421.31 and 411,540.75

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Solution

The third proportional to 189,421.31 and 411,540.75 is: 894,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,421.31 : 411,540.75 = 411,540.75 : x
  2. Step 2: Convert to fraction form
    189,421.31/411,540.75 = 411,540.75/x
  3. Step 3: Cross multiply
    189,421.31x = 411,540.75 × 411,540.75
  4. Step 4: Simplify right side
    189,421.31x = 169,365,788,910.56
  5. Step 5: Solve for x
    x = 169,365,788,910.56/189,421.31
  6. Step 6: Final answer
    x = 894,122.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.