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Finding the Third Proportional to 64,368 and 135,972

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Solution

The third proportional to 64,368 and 135,972 is: 287,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,368 : 135,972 = 135,972 : x
  2. Step 2: Convert to fraction form
    64,368/135,972 = 135,972/x
  3. Step 3: Cross multiply
    64,368x = 135,972 × 135,972
  4. Step 4: Simplify right side
    64,368x = 18,488,384,784
  5. Step 5: Solve for x
    x = 18,488,384,784/64,368
  6. Step 6: Final answer
    x = 287,229.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.