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Finding the Third Proportional to 31,509 and 69,234.75

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Solution

The third proportional to 31,509 and 69,234.75 is: 152,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509 : 69,234.75 = 69,234.75 : x
  2. Step 2: Convert to fraction form
    31,509/69,234.75 = 69,234.75/x
  3. Step 3: Cross multiply
    31,509x = 69,234.75 × 69,234.75
  4. Step 4: Simplify right side
    31,509x = 4,793,450,607.56
  5. Step 5: Solve for x
    x = 4,793,450,607.56/31,509
  6. Step 6: Final answer
    x = 152,129.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.