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Finding the Third Proportional to 129,110 and 283,105

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Solution

The third proportional to 129,110 and 283,105 is: 620,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,110 : 283,105 = 283,105 : x
  2. Step 2: Convert to fraction form
    129,110/283,105 = 283,105/x
  3. Step 3: Cross multiply
    129,110x = 283,105 × 283,105
  4. Step 4: Simplify right side
    129,110x = 80,148,441,025
  5. Step 5: Solve for x
    x = 80,148,441,025/129,110
  6. Step 6: Final answer
    x = 620,776.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.