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Finding the Third Proportional to 189,059.48 and 408,203.30

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Solution

The third proportional to 189,059.48 and 408,203.30 is: 881,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,059.48 : 408,203.30 = 408,203.30 : x
  2. Step 2: Convert to fraction form
    189,059.48/408,203.30 = 408,203.30/x
  3. Step 3: Cross multiply
    189,059.48x = 408,203.30 × 408,203.30
  4. Step 4: Simplify right side
    189,059.48x = 166,629,931,579.62
  5. Step 5: Solve for x
    x = 166,629,931,579.62/189,059.48
  6. Step 6: Final answer
    x = 881,362.46

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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.