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Finding the Third Proportional to 59,121 and 128,079

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Solution

The third proportional to 59,121 and 128,079 is: 277,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,121 : 128,079 = 128,079 : x
  2. Step 2: Convert to fraction form
    59,121/128,079 = 128,079/x
  3. Step 3: Cross multiply
    59,121x = 128,079 × 128,079
  4. Step 4: Simplify right side
    59,121x = 16,404,230,241
  5. Step 5: Solve for x
    x = 16,404,230,241/59,121
  6. Step 6: Final answer
    x = 277,468.75

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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.