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Finding the Third Proportional to 56,078 and 79,986

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Solution

The third proportional to 56,078 and 79,986 is: 114,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,078 : 79,986 = 79,986 : x
  2. Step 2: Convert to fraction form
    56,078/79,986 = 79,986/x
  3. Step 3: Cross multiply
    56,078x = 79,986 × 79,986
  4. Step 4: Simplify right side
    56,078x = 6,397,760,196
  5. Step 5: Solve for x
    x = 6,397,760,196/56,078
  6. Step 6: Final answer
    x = 114,086.81

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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.