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Finding the Third Proportional to 15,741.75 and 34,980

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Solution

The third proportional to 15,741.75 and 34,980 is: 77,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.75 : 34,980 = 34,980 : x
  2. Step 2: Convert to fraction form
    15,741.75/34,980 = 34,980/x
  3. Step 3: Cross multiply
    15,741.75x = 34,980 × 34,980
  4. Step 4: Simplify right side
    15,741.75x = 1,223,600,400
  5. Step 5: Solve for x
    x = 1,223,600,400/15,741.75
  6. Step 6: Final answer
    x = 77,729.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.