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Finding the Third Proportional to 53,288 and 82,876

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Solution

The third proportional to 53,288 and 82,876 is: 128,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,288 : 82,876 = 82,876 : x
  2. Step 2: Convert to fraction form
    53,288/82,876 = 82,876/x
  3. Step 3: Cross multiply
    53,288x = 82,876 × 82,876
  4. Step 4: Simplify right side
    53,288x = 6,868,431,376
  5. Step 5: Solve for x
    x = 6,868,431,376/53,288
  6. Step 6: Final answer
    x = 128,892.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.