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Finding the Third Proportional to 7,678 and 16,129

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Solution

The third proportional to 7,678 and 16,129 is: 33,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678 : 16,129 = 16,129 : x
  2. Step 2: Convert to fraction form
    7,678/16,129 = 16,129/x
  3. Step 3: Cross multiply
    7,678x = 16,129 × 16,129
  4. Step 4: Simplify right side
    7,678x = 260,144,641
  5. Step 5: Solve for x
    x = 260,144,641/7,678
  6. Step 6: Final answer
    x = 33,881.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.