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Finding the Third Proportional to 43,257 and 55,275

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Solution

The third proportional to 43,257 and 55,275 is: 70,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,257 : 55,275 = 55,275 : x
  2. Step 2: Convert to fraction form
    43,257/55,275 = 55,275/x
  3. Step 3: Cross multiply
    43,257x = 55,275 × 55,275
  4. Step 4: Simplify right side
    43,257x = 3,055,325,625
  5. Step 5: Solve for x
    x = 3,055,325,625/43,257
  6. Step 6: Final answer
    x = 70,631.94

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.