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Finding the Third Proportional to 15,978 and 25,013

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Solution

The third proportional to 15,978 and 25,013 is: 39,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978 : 25,013 = 25,013 : x
  2. Step 2: Convert to fraction form
    15,978/25,013 = 25,013/x
  3. Step 3: Cross multiply
    15,978x = 25,013 × 25,013
  4. Step 4: Simplify right side
    15,978x = 625,650,169
  5. Step 5: Solve for x
    x = 625,650,169/15,978
  6. Step 6: Final answer
    x = 39,156.98

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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.