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Finding the Third Proportional to 129,716 and 284,036

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Solution

The third proportional to 129,716 and 284,036 is: 621,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,716 : 284,036 = 284,036 : x
  2. Step 2: Convert to fraction form
    129,716/284,036 = 284,036/x
  3. Step 3: Cross multiply
    129,716x = 284,036 × 284,036
  4. Step 4: Simplify right side
    129,716x = 80,676,449,296
  5. Step 5: Solve for x
    x = 80,676,449,296/129,716
  6. Step 6: Final answer
    x = 621,946.79

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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.