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Finding the Third Proportional to 93,639 and 132,496.50

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Solution

The third proportional to 93,639 and 132,496.50 is: 187,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,639 : 132,496.50 = 132,496.50 : x
  2. Step 2: Convert to fraction form
    93,639/132,496.50 = 132,496.50/x
  3. Step 3: Cross multiply
    93,639x = 132,496.50 × 132,496.50
  4. Step 4: Simplify right side
    93,639x = 17,555,322,512.25
  5. Step 5: Solve for x
    x = 17,555,322,512.25/93,639
  6. Step 6: Final answer
    x = 187,478.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.