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Finding the Third Proportional to 128,889.19 and 283,167.94

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Solution

The third proportional to 128,889.19 and 283,167.94 is: 622,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,889.19 : 283,167.94 = 283,167.94 : x
  2. Step 2: Convert to fraction form
    128,889.19/283,167.94 = 283,167.94/x
  3. Step 3: Cross multiply
    128,889.19x = 283,167.94 × 283,167.94
  4. Step 4: Simplify right side
    128,889.19x = 80,184,080,828.00
  5. Step 5: Solve for x
    x = 80,184,080,828.00/128,889.19
  6. Step 6: Final answer
    x = 622,116.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.