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Finding the Third Proportional to 43,972 and 68,654

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Solution

The third proportional to 43,972 and 68,654 is: 107,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,972 : 68,654 = 68,654 : x
  2. Step 2: Convert to fraction form
    43,972/68,654 = 68,654/x
  3. Step 3: Cross multiply
    43,972x = 68,654 × 68,654
  4. Step 4: Simplify right side
    43,972x = 4,713,371,716
  5. Step 5: Solve for x
    x = 4,713,371,716/43,972
  6. Step 6: Final answer
    x = 107,190.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.