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Finding the Third Proportional to 64,137 and 137,742

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Solution

The third proportional to 64,137 and 137,742 is: 295,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,137 : 137,742 = 137,742 : x
  2. Step 2: Convert to fraction form
    64,137/137,742 = 137,742/x
  3. Step 3: Cross multiply
    64,137x = 137,742 × 137,742
  4. Step 4: Simplify right side
    64,137x = 18,972,858,564
  5. Step 5: Solve for x
    x = 18,972,858,564/64,137
  6. Step 6: Final answer
    x = 295,817.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.