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Finding the Third Proportional to 15,648 and 25,980

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Solution

The third proportional to 15,648 and 25,980 is: 43,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648 : 25,980 = 25,980 : x
  2. Step 2: Convert to fraction form
    15,648/25,980 = 25,980/x
  3. Step 3: Cross multiply
    15,648x = 25,980 × 25,980
  4. Step 4: Simplify right side
    15,648x = 674,960,400
  5. Step 5: Solve for x
    x = 674,960,400/15,648
  6. Step 6: Final answer
    x = 43,133.97

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.