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Finding the Third Proportional to 129,861 and 283,554

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Solution

The third proportional to 129,861 and 283,554 is: 619,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,861 : 283,554 = 283,554 : x
  2. Step 2: Convert to fraction form
    129,861/283,554 = 283,554/x
  3. Step 3: Cross multiply
    129,861x = 283,554 × 283,554
  4. Step 4: Simplify right side
    129,861x = 80,402,870,916
  5. Step 5: Solve for x
    x = 80,402,870,916/129,861
  6. Step 6: Final answer
    x = 619,145.63

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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.