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Finding the Third Proportional to 40,320 and 57,324

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Solution

The third proportional to 40,320 and 57,324 is: 81,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,320 : 57,324 = 57,324 : x
  2. Step 2: Convert to fraction form
    40,320/57,324 = 57,324/x
  3. Step 3: Cross multiply
    40,320x = 57,324 × 57,324
  4. Step 4: Simplify right side
    40,320x = 3,286,040,976
  5. Step 5: Solve for x
    x = 3,286,040,976/40,320
  6. Step 6: Final answer
    x = 81,499.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.