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Finding the Third Proportional to 38,745.84 and 79,129.41

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Solution

The third proportional to 38,745.84 and 79,129.41 is: 161,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,745.84 : 79,129.41 = 79,129.41 : x
  2. Step 2: Convert to fraction form
    38,745.84/79,129.41 = 79,129.41/x
  3. Step 3: Cross multiply
    38,745.84x = 79,129.41 × 79,129.41
  4. Step 4: Simplify right side
    38,745.84x = 6,261,462,933.48
  5. Step 5: Solve for x
    x = 6,261,462,933.48/38,745.84
  6. Step 6: Final answer
    x = 161,603.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.