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Finding the Third Proportional to 81,178.88 and 189,580.50

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Solution

The third proportional to 81,178.88 and 189,580.50 is: 442,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,178.88 : 189,580.50 = 189,580.50 : x
  2. Step 2: Convert to fraction form
    81,178.88/189,580.50 = 189,580.50/x
  3. Step 3: Cross multiply
    81,178.88x = 189,580.50 × 189,580.50
  4. Step 4: Simplify right side
    81,178.88x = 35,940,765,980.25
  5. Step 5: Solve for x
    x = 35,940,765,980.25/81,178.88
  6. Step 6: Final answer
    x = 442,735.45

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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.