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Finding the Third Proportional to 129,910 and 283,330

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Solution

The third proportional to 129,910 and 283,330 is: 617,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,910 : 283,330 = 283,330 : x
  2. Step 2: Convert to fraction form
    129,910/283,330 = 283,330/x
  3. Step 3: Cross multiply
    129,910x = 283,330 × 283,330
  4. Step 4: Simplify right side
    129,910x = 80,275,888,900
  5. Step 5: Solve for x
    x = 80,275,888,900/129,910
  6. Step 6: Final answer
    x = 617,934.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.