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Finding the Third Proportional to 63,018 and 131,880

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Solution

The third proportional to 63,018 and 131,880 is: 275,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,018 : 131,880 = 131,880 : x
  2. Step 2: Convert to fraction form
    63,018/131,880 = 131,880/x
  3. Step 3: Cross multiply
    63,018x = 131,880 × 131,880
  4. Step 4: Simplify right side
    63,018x = 17,392,334,400
  5. Step 5: Solve for x
    x = 17,392,334,400/63,018
  6. Step 6: Final answer
    x = 275,989.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.