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Finding the Third Proportional to 43,817 and 68,645

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Solution

The third proportional to 43,817 and 68,645 is: 107,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,817 : 68,645 = 68,645 : x
  2. Step 2: Convert to fraction form
    43,817/68,645 = 68,645/x
  3. Step 3: Cross multiply
    43,817x = 68,645 × 68,645
  4. Step 4: Simplify right side
    43,817x = 4,712,136,025
  5. Step 5: Solve for x
    x = 4,712,136,025/43,817
  6. Step 6: Final answer
    x = 107,541.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.