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Finding the Third Proportional to 40,257 and 57,496.50

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Solution

The third proportional to 40,257 and 57,496.50 is: 82,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,257 : 57,496.50 = 57,496.50 : x
  2. Step 2: Convert to fraction form
    40,257/57,496.50 = 57,496.50/x
  3. Step 3: Cross multiply
    40,257x = 57,496.50 × 57,496.50
  4. Step 4: Simplify right side
    40,257x = 3,305,847,512.25
  5. Step 5: Solve for x
    x = 3,305,847,512.25/40,257
  6. Step 6: Final answer
    x = 82,118.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.