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Finding the Third Proportional to 53,580 and 80,196

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Solution

The third proportional to 53,580 and 80,196 is: 120,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,580 : 80,196 = 80,196 : x
  2. Step 2: Convert to fraction form
    53,580/80,196 = 80,196/x
  3. Step 3: Cross multiply
    53,580x = 80,196 × 80,196
  4. Step 4: Simplify right side
    53,580x = 6,431,398,416
  5. Step 5: Solve for x
    x = 6,431,398,416/53,580
  6. Step 6: Final answer
    x = 120,033.57

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Why These Related Problems?

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