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Finding the Third Proportional to 59,269 and 128,375

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Solution

The third proportional to 59,269 and 128,375 is: 278,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,269 : 128,375 = 128,375 : x
  2. Step 2: Convert to fraction form
    59,269/128,375 = 128,375/x
  3. Step 3: Cross multiply
    59,269x = 128,375 × 128,375
  4. Step 4: Simplify right side
    59,269x = 16,480,140,625
  5. Step 5: Solve for x
    x = 16,480,140,625/59,269
  6. Step 6: Final answer
    x = 278,056.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.