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Finding the Third Proportional to 42,701 and 68,215

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Solution

The third proportional to 42,701 and 68,215 is: 108,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,701 : 68,215 = 68,215 : x
  2. Step 2: Convert to fraction form
    42,701/68,215 = 68,215/x
  3. Step 3: Cross multiply
    42,701x = 68,215 × 68,215
  4. Step 4: Simplify right side
    42,701x = 4,653,286,225
  5. Step 5: Solve for x
    x = 4,653,286,225/42,701
  6. Step 6: Final answer
    x = 108,973.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.