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Finding the Third Proportional to 31,836.75 and 68,565

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Solution

The third proportional to 31,836.75 and 68,565 is: 147,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,836.75 : 68,565 = 68,565 : x
  2. Step 2: Convert to fraction form
    31,836.75/68,565 = 68,565/x
  3. Step 3: Cross multiply
    31,836.75x = 68,565 × 68,565
  4. Step 4: Simplify right side
    31,836.75x = 4,701,159,225
  5. Step 5: Solve for x
    x = 4,701,159,225/31,836.75
  6. Step 6: Final answer
    x = 147,664.55

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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.