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Finding the Third Proportional to 43,391 and 68,765

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Solution

The third proportional to 43,391 and 68,765 is: 108,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,391 : 68,765 = 68,765 : x
  2. Step 2: Convert to fraction form
    43,391/68,765 = 68,765/x
  3. Step 3: Cross multiply
    43,391x = 68,765 × 68,765
  4. Step 4: Simplify right side
    43,391x = 4,728,625,225
  5. Step 5: Solve for x
    x = 4,728,625,225/43,391
  6. Step 6: Final answer
    x = 108,977.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.