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Finding the Third Proportional to 60,082 and 128,990

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Solution

The third proportional to 60,082 and 128,990 is: 276,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,082 : 128,990 = 128,990 : x
  2. Step 2: Convert to fraction form
    60,082/128,990 = 128,990/x
  3. Step 3: Cross multiply
    60,082x = 128,990 × 128,990
  4. Step 4: Simplify right side
    60,082x = 16,638,420,100
  5. Step 5: Solve for x
    x = 16,638,420,100/60,082
  6. Step 6: Final answer
    x = 276,928.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.