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Finding the Third Proportional to 59,138 and 128,110

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Solution

The third proportional to 59,138 and 128,110 is: 277,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,138 : 128,110 = 128,110 : x
  2. Step 2: Convert to fraction form
    59,138/128,110 = 128,110/x
  3. Step 3: Cross multiply
    59,138x = 128,110 × 128,110
  4. Step 4: Simplify right side
    59,138x = 16,412,172,100
  5. Step 5: Solve for x
    x = 16,412,172,100/59,138
  6. Step 6: Final answer
    x = 277,523.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.