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Finding the Third Proportional to 128,812 and 283,314

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Solution

The third proportional to 128,812 and 283,314 is: 623,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,812 : 283,314 = 283,314 : x
  2. Step 2: Convert to fraction form
    128,812/283,314 = 283,314/x
  3. Step 3: Cross multiply
    128,812x = 283,314 × 283,314
  4. Step 4: Simplify right side
    128,812x = 80,266,822,596
  5. Step 5: Solve for x
    x = 80,266,822,596/128,812
  6. Step 6: Final answer
    x = 623,131.56

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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.