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Finding the Third Proportional to 87,777 and 128,115

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Solution

The third proportional to 87,777 and 128,115 is: 186,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,777 : 128,115 = 128,115 : x
  2. Step 2: Convert to fraction form
    87,777/128,115 = 128,115/x
  3. Step 3: Cross multiply
    87,777x = 128,115 × 128,115
  4. Step 4: Simplify right side
    87,777x = 16,413,453,225
  5. Step 5: Solve for x
    x = 16,413,453,225/87,777
  6. Step 6: Final answer
    x = 186,990.36

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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.