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Finding the Third Proportional to 64,616 and 136,682

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Solution

The third proportional to 64,616 and 136,682 is: 289,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,616 : 136,682 = 136,682 : x
  2. Step 2: Convert to fraction form
    64,616/136,682 = 136,682/x
  3. Step 3: Cross multiply
    64,616x = 136,682 × 136,682
  4. Step 4: Simplify right side
    64,616x = 18,681,969,124
  5. Step 5: Solve for x
    x = 18,681,969,124/64,616
  6. Step 6: Final answer
    x = 289,122.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.