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Finding the Third Proportional to 303,786 and 488,079

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Solution

The third proportional to 303,786 and 488,079 is: 784,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,786 : 488,079 = 488,079 : x
  2. Step 2: Convert to fraction form
    303,786/488,079 = 488,079/x
  3. Step 3: Cross multiply
    303,786x = 488,079 × 488,079
  4. Step 4: Simplify right side
    303,786x = 238,221,110,241
  5. Step 5: Solve for x
    x = 238,221,110,241/303,786
  6. Step 6: Final answer
    x = 784,174.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.