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Finding the Third Proportional to 128,080 and 205,790

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Solution

The third proportional to 128,080 and 205,790 is: 330,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,080 : 205,790 = 205,790 : x
  2. Step 2: Convert to fraction form
    128,080/205,790 = 205,790/x
  3. Step 3: Cross multiply
    128,080x = 205,790 × 205,790
  4. Step 4: Simplify right side
    128,080x = 42,349,524,100
  5. Step 5: Solve for x
    x = 42,349,524,100/128,080
  6. Step 6: Final answer
    x = 330,649.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.