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Finding the Third Proportional to 87,678 and 128,233

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Solution

The third proportional to 87,678 and 128,233 is: 187,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,678 : 128,233 = 128,233 : x
  2. Step 2: Convert to fraction form
    87,678/128,233 = 128,233/x
  3. Step 3: Cross multiply
    87,678x = 128,233 × 128,233
  4. Step 4: Simplify right side
    87,678x = 16,443,702,289
  5. Step 5: Solve for x
    x = 16,443,702,289/87,678
  6. Step 6: Final answer
    x = 187,546.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.