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Finding the Third Proportional to 15,728 and 23,378

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Solution

The third proportional to 15,728 and 23,378 is: 34,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728 : 23,378 = 23,378 : x
  2. Step 2: Convert to fraction form
    15,728/23,378 = 23,378/x
  3. Step 3: Cross multiply
    15,728x = 23,378 × 23,378
  4. Step 4: Simplify right side
    15,728x = 546,530,884
  5. Step 5: Solve for x
    x = 546,530,884/15,728
  6. Step 6: Final answer
    x = 34,748.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.