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Finding the Third Proportional to 60,180 and 90,142

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Solution

The third proportional to 60,180 and 90,142 is: 135,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,180 : 90,142 = 90,142 : x
  2. Step 2: Convert to fraction form
    60,180/90,142 = 90,142/x
  3. Step 3: Cross multiply
    60,180x = 90,142 × 90,142
  4. Step 4: Simplify right side
    60,180x = 8,125,580,164
  5. Step 5: Solve for x
    x = 8,125,580,164/60,180
  6. Step 6: Final answer
    x = 135,021.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.