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Finding the Third Proportional to 138,640.50 and 283,836.94

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Solution

The third proportional to 138,640.50 and 283,836.94 is: 581,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,640.50 : 283,836.94 = 283,836.94 : x
  2. Step 2: Convert to fraction form
    138,640.50/283,836.94 = 283,836.94/x
  3. Step 3: Cross multiply
    138,640.50x = 283,836.94 × 283,836.94
  4. Step 4: Simplify right side
    138,640.50x = 80,563,407,089.38
  5. Step 5: Solve for x
    x = 80,563,407,089.38/138,640.50
  6. Step 6: Final answer
    x = 581,095.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.