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Finding the Third Proportional to 59,505 and 128,809

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Solution

The third proportional to 59,505 and 128,809 is: 278,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,505 : 128,809 = 128,809 : x
  2. Step 2: Convert to fraction form
    59,505/128,809 = 128,809/x
  3. Step 3: Cross multiply
    59,505x = 128,809 × 128,809
  4. Step 4: Simplify right side
    59,505x = 16,591,758,481
  5. Step 5: Solve for x
    x = 16,591,758,481/59,505
  6. Step 6: Final answer
    x = 278,829.65

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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.