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Finding the Third Proportional to 60,282 and 135,390

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Solution

The third proportional to 60,282 and 135,390 is: 304,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,282 : 135,390 = 135,390 : x
  2. Step 2: Convert to fraction form
    60,282/135,390 = 135,390/x
  3. Step 3: Cross multiply
    60,282x = 135,390 × 135,390
  4. Step 4: Simplify right side
    60,282x = 18,330,452,100
  5. Step 5: Solve for x
    x = 18,330,452,100/60,282
  6. Step 6: Final answer
    x = 304,078.37

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.