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Finding the Third Proportional to 40,696 and 54,313

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Solution

The third proportional to 40,696 and 54,313 is: 72,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,696 : 54,313 = 54,313 : x
  2. Step 2: Convert to fraction form
    40,696/54,313 = 54,313/x
  3. Step 3: Cross multiply
    40,696x = 54,313 × 54,313
  4. Step 4: Simplify right side
    40,696x = 2,949,901,969
  5. Step 5: Solve for x
    x = 2,949,901,969/40,696
  6. Step 6: Final answer
    x = 72,486.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.