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Finding the Third Proportional to 179,478 and 388,674

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Solution

The third proportional to 179,478 and 388,674 is: 841,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,478 : 388,674 = 388,674 : x
  2. Step 2: Convert to fraction form
    179,478/388,674 = 388,674/x
  3. Step 3: Cross multiply
    179,478x = 388,674 × 388,674
  4. Step 4: Simplify right side
    179,478x = 151,067,478,276
  5. Step 5: Solve for x
    x = 151,067,478,276/179,478
  6. Step 6: Final answer
    x = 841,704.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.