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Finding the Third Proportional to 43,463 and 71,915

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Solution

The third proportional to 43,463 and 71,915 is: 118,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,463 : 71,915 = 71,915 : x
  2. Step 2: Convert to fraction form
    43,463/71,915 = 71,915/x
  3. Step 3: Cross multiply
    43,463x = 71,915 × 71,915
  4. Step 4: Simplify right side
    43,463x = 5,171,767,225
  5. Step 5: Solve for x
    x = 5,171,767,225/43,463
  6. Step 6: Final answer
    x = 118,992.41

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.