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Finding the Third Proportional to 88,420 and 135,212

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Solution

The third proportional to 88,420 and 135,212 is: 206,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,420 : 135,212 = 135,212 : x
  2. Step 2: Convert to fraction form
    88,420/135,212 = 135,212/x
  3. Step 3: Cross multiply
    88,420x = 135,212 × 135,212
  4. Step 4: Simplify right side
    88,420x = 18,282,284,944
  5. Step 5: Solve for x
    x = 18,282,284,944/88,420
  6. Step 6: Final answer
    x = 206,766.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.