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Finding the Third Proportional to 388,311.75 and 588,481.88

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Solution

The third proportional to 388,311.75 and 588,481.88 is: 891,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,311.75 : 588,481.88 = 588,481.88 : x
  2. Step 2: Convert to fraction form
    388,311.75/588,481.88 = 588,481.88/x
  3. Step 3: Cross multiply
    388,311.75x = 588,481.88 × 588,481.88
  4. Step 4: Simplify right side
    388,311.75x = 346,310,917,203.52
  5. Step 5: Solve for x
    x = 346,310,917,203.52/388,311.75
  6. Step 6: Final answer
    x = 891,837.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.