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Finding the Third Proportional to 61,614 and 128,682

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Solution

The third proportional to 61,614 and 128,682 is: 268,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,614 : 128,682 = 128,682 : x
  2. Step 2: Convert to fraction form
    61,614/128,682 = 128,682/x
  3. Step 3: Cross multiply
    61,614x = 128,682 × 128,682
  4. Step 4: Simplify right side
    61,614x = 16,559,057,124
  5. Step 5: Solve for x
    x = 16,559,057,124/61,614
  6. Step 6: Final answer
    x = 268,754.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.