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Finding the Third Proportional to 88,012 and 132,440

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Solution

The third proportional to 88,012 and 132,440 is: 199,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,012 : 132,440 = 132,440 : x
  2. Step 2: Convert to fraction form
    88,012/132,440 = 132,440/x
  3. Step 3: Cross multiply
    88,012x = 132,440 × 132,440
  4. Step 4: Simplify right side
    88,012x = 17,540,353,600
  5. Step 5: Solve for x
    x = 17,540,353,600/88,012
  6. Step 6: Final answer
    x = 199,295.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.