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Finding the Third Proportional to 56,742 and 79,512

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Solution

The third proportional to 56,742 and 79,512 is: 111,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,742 : 79,512 = 79,512 : x
  2. Step 2: Convert to fraction form
    56,742/79,512 = 79,512/x
  3. Step 3: Cross multiply
    56,742x = 79,512 × 79,512
  4. Step 4: Simplify right side
    56,742x = 6,322,158,144
  5. Step 5: Solve for x
    x = 6,322,158,144/56,742
  6. Step 6: Final answer
    x = 111,419.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.