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Finding the Third Proportional to 60,540 and 128,290

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Solution

The third proportional to 60,540 and 128,290 is: 271,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,540 : 128,290 = 128,290 : x
  2. Step 2: Convert to fraction form
    60,540/128,290 = 128,290/x
  3. Step 3: Cross multiply
    60,540x = 128,290 × 128,290
  4. Step 4: Simplify right side
    60,540x = 16,458,324,100
  5. Step 5: Solve for x
    x = 16,458,324,100/60,540
  6. Step 6: Final answer
    x = 271,858.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.