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Finding the Third Proportional to 54,512 and 79,973

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Solution

The third proportional to 54,512 and 79,973 is: 117,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,512 : 79,973 = 79,973 : x
  2. Step 2: Convert to fraction form
    54,512/79,973 = 79,973/x
  3. Step 3: Cross multiply
    54,512x = 79,973 × 79,973
  4. Step 4: Simplify right side
    54,512x = 6,395,680,729
  5. Step 5: Solve for x
    x = 6,395,680,729/54,512
  6. Step 6: Final answer
    x = 117,326.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.