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Finding the Third Proportional to 59,611 and 128,901

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Solution

The third proportional to 59,611 and 128,901 is: 278,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,611 : 128,901 = 128,901 : x
  2. Step 2: Convert to fraction form
    59,611/128,901 = 128,901/x
  3. Step 3: Cross multiply
    59,611x = 128,901 × 128,901
  4. Step 4: Simplify right side
    59,611x = 16,615,467,801
  5. Step 5: Solve for x
    x = 16,615,467,801/59,611
  6. Step 6: Final answer
    x = 278,731.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.