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Finding the Third Proportional to 25,728 and 38,865

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Solution

The third proportional to 25,728 and 38,865 is: 58,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728 : 38,865 = 38,865 : x
  2. Step 2: Convert to fraction form
    25,728/38,865 = 38,865/x
  3. Step 3: Cross multiply
    25,728x = 38,865 × 38,865
  4. Step 4: Simplify right side
    25,728x = 1,510,488,225
  5. Step 5: Solve for x
    x = 1,510,488,225/25,728
  6. Step 6: Final answer
    x = 58,709.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.