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Finding the Third Proportional to 31,745.50 and 69,135

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Solution

The third proportional to 31,745.50 and 69,135 is: 150,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.50 : 69,135 = 69,135 : x
  2. Step 2: Convert to fraction form
    31,745.50/69,135 = 69,135/x
  3. Step 3: Cross multiply
    31,745.50x = 69,135 × 69,135
  4. Step 4: Simplify right side
    31,745.50x = 4,779,648,225
  5. Step 5: Solve for x
    x = 4,779,648,225/31,745.50
  6. Step 6: Final answer
    x = 150,561.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.