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Finding the Third Proportional to 15,580 and 19,962

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Solution

The third proportional to 15,580 and 19,962 is: 25,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580 : 19,962 = 19,962 : x
  2. Step 2: Convert to fraction form
    15,580/19,962 = 19,962/x
  3. Step 3: Cross multiply
    15,580x = 19,962 × 19,962
  4. Step 4: Simplify right side
    15,580x = 398,481,444
  5. Step 5: Solve for x
    x = 398,481,444/15,580
  6. Step 6: Final answer
    x = 25,576.47

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.