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Finding the Third Proportional to 45,180 and 60,378

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Solution

The third proportional to 45,180 and 60,378 is: 80,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,180 : 60,378 = 60,378 : x
  2. Step 2: Convert to fraction form
    45,180/60,378 = 60,378/x
  3. Step 3: Cross multiply
    45,180x = 60,378 × 60,378
  4. Step 4: Simplify right side
    45,180x = 3,645,502,884
  5. Step 5: Solve for x
    x = 3,645,502,884/45,180
  6. Step 6: Final answer
    x = 80,688.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.