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Finding the Third Proportional to 86,678 and 133,044

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Solution

The third proportional to 86,678 and 133,044 is: 204,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,678 : 133,044 = 133,044 : x
  2. Step 2: Convert to fraction form
    86,678/133,044 = 133,044/x
  3. Step 3: Cross multiply
    86,678x = 133,044 × 133,044
  4. Step 4: Simplify right side
    86,678x = 17,700,705,936
  5. Step 5: Solve for x
    x = 17,700,705,936/86,678
  6. Step 6: Final answer
    x = 204,212.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.