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Finding the Third Proportional to 94,434 and 132,019.50

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Solution

The third proportional to 94,434 and 132,019.50 is: 184,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,434 : 132,019.50 = 132,019.50 : x
  2. Step 2: Convert to fraction form
    94,434/132,019.50 = 132,019.50/x
  3. Step 3: Cross multiply
    94,434x = 132,019.50 × 132,019.50
  4. Step 4: Simplify right side
    94,434x = 17,429,148,380.25
  5. Step 5: Solve for x
    x = 17,429,148,380.25/94,434
  6. Step 6: Final answer
    x = 184,564.33

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.