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Finding the Third Proportional to 31,506.75 and 69,225.19

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Solution

The third proportional to 31,506.75 and 69,225.19 is: 152,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.75 : 69,225.19 = 69,225.19 : x
  2. Step 2: Convert to fraction form
    31,506.75/69,225.19 = 69,225.19/x
  3. Step 3: Cross multiply
    31,506.75x = 69,225.19 × 69,225.19
  4. Step 4: Simplify right side
    31,506.75x = 4,792,126,584.41
  5. Step 5: Solve for x
    x = 4,792,126,584.41/31,506.75
  6. Step 6: Final answer
    x = 152,098.41

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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.