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Finding the Third Proportional to 54,729 and 119,742

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Solution

The third proportional to 54,729 and 119,742 is: 261,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,729 : 119,742 = 119,742 : x
  2. Step 2: Convert to fraction form
    54,729/119,742 = 119,742/x
  3. Step 3: Cross multiply
    54,729x = 119,742 × 119,742
  4. Step 4: Simplify right side
    54,729x = 14,338,146,564
  5. Step 5: Solve for x
    x = 14,338,146,564/54,729
  6. Step 6: Final answer
    x = 261,984.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.