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Finding the Third Proportional to 15,876 and 25,128

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Solution

The third proportional to 15,876 and 25,128 is: 39,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876 : 25,128 = 25,128 : x
  2. Step 2: Convert to fraction form
    15,876/25,128 = 25,128/x
  3. Step 3: Cross multiply
    15,876x = 25,128 × 25,128
  4. Step 4: Simplify right side
    15,876x = 631,416,384
  5. Step 5: Solve for x
    x = 631,416,384/15,876
  6. Step 6: Final answer
    x = 39,771.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.