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Finding the Third Proportional to 15,538 and 21,388

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Solution

The third proportional to 15,538 and 21,388 is: 29,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538 : 21,388 = 21,388 : x
  2. Step 2: Convert to fraction form
    15,538/21,388 = 21,388/x
  3. Step 3: Cross multiply
    15,538x = 21,388 × 21,388
  4. Step 4: Simplify right side
    15,538x = 457,446,544
  5. Step 5: Solve for x
    x = 457,446,544/15,538
  6. Step 6: Final answer
    x = 29,440.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.