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Finding the Third Proportional to 31,903.50 and 68,682

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Solution

The third proportional to 31,903.50 and 68,682 is: 147,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.50 : 68,682 = 68,682 : x
  2. Step 2: Convert to fraction form
    31,903.50/68,682 = 68,682/x
  3. Step 3: Cross multiply
    31,903.50x = 68,682 × 68,682
  4. Step 4: Simplify right side
    31,903.50x = 4,717,217,124
  5. Step 5: Solve for x
    x = 4,717,217,124/31,903.50
  6. Step 6: Final answer
    x = 147,858.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.