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Finding the Third Proportional to 15,989 and 34,765

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Solution

The third proportional to 15,989 and 34,765 is: 75,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,989 : 34,765 = 34,765 : x
  2. Step 2: Convert to fraction form
    15,989/34,765 = 34,765/x
  3. Step 3: Cross multiply
    15,989x = 34,765 × 34,765
  4. Step 4: Simplify right side
    15,989x = 1,208,605,225
  5. Step 5: Solve for x
    x = 1,208,605,225/15,989
  6. Step 6: Final answer
    x = 75,589.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.