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Finding the Third Proportional to 128,254.22 and 285,999.19

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Solution

The third proportional to 128,254.22 and 285,999.19 is: 637,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,254.22 : 285,999.19 = 285,999.19 : x
  2. Step 2: Convert to fraction form
    128,254.22/285,999.19 = 285,999.19/x
  3. Step 3: Cross multiply
    128,254.22x = 285,999.19 × 285,999.19
  4. Step 4: Simplify right side
    128,254.22x = 81,795,535,250.66
  5. Step 5: Solve for x
    x = 81,795,535,250.66/128,254.22
  6. Step 6: Final answer
    x = 637,760.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.