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Finding the Third Proportional to 54,072 and 79,704

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Solution

The third proportional to 54,072 and 79,704 is: 117,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072 : 79,704 = 79,704 : x
  2. Step 2: Convert to fraction form
    54,072/79,704 = 79,704/x
  3. Step 3: Cross multiply
    54,072x = 79,704 × 79,704
  4. Step 4: Simplify right side
    54,072x = 6,352,727,616
  5. Step 5: Solve for x
    x = 6,352,727,616/54,072
  6. Step 6: Final answer
    x = 117,486.46

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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.