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Finding the Third Proportional to 60,939 and 135,880

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Solution

The third proportional to 60,939 and 135,880 is: 302,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,939 : 135,880 = 135,880 : x
  2. Step 2: Convert to fraction form
    60,939/135,880 = 135,880/x
  3. Step 3: Cross multiply
    60,939x = 135,880 × 135,880
  4. Step 4: Simplify right side
    60,939x = 18,463,374,400
  5. Step 5: Solve for x
    x = 18,463,374,400/60,939
  6. Step 6: Final answer
    x = 302,981.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.