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Finding the Third Proportional to 53,669 and 80,503

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Solution

The third proportional to 53,669 and 80,503 is: 120,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,669 : 80,503 = 80,503 : x
  2. Step 2: Convert to fraction form
    53,669/80,503 = 80,503/x
  3. Step 3: Cross multiply
    53,669x = 80,503 × 80,503
  4. Step 4: Simplify right side
    53,669x = 6,480,733,009
  5. Step 5: Solve for x
    x = 6,480,733,009/53,669
  6. Step 6: Final answer
    x = 120,753.75

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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.