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Finding the Third Proportional to 40,318 and 61,867

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Solution

The third proportional to 40,318 and 61,867 is: 94,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,318 : 61,867 = 61,867 : x
  2. Step 2: Convert to fraction form
    40,318/61,867 = 61,867/x
  3. Step 3: Cross multiply
    40,318x = 61,867 × 61,867
  4. Step 4: Simplify right side
    40,318x = 3,827,525,689
  5. Step 5: Solve for x
    x = 3,827,525,689/40,318
  6. Step 6: Final answer
    x = 94,933.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.