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Finding the Third Proportional to 15,978 and 25,014

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Solution

The third proportional to 15,978 and 25,014 is: 39,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978 : 25,014 = 25,014 : x
  2. Step 2: Convert to fraction form
    15,978/25,014 = 25,014/x
  3. Step 3: Cross multiply
    15,978x = 25,014 × 25,014
  4. Step 4: Simplify right side
    15,978x = 625,700,196
  5. Step 5: Solve for x
    x = 625,700,196/15,978
  6. Step 6: Final answer
    x = 39,160.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.