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Finding the Third Proportional to 378,500 and 824,200

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Solution

The third proportional to 378,500 and 824,200 is: 1,794,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,500 : 824,200 = 824,200 : x
  2. Step 2: Convert to fraction form
    378,500/824,200 = 824,200/x
  3. Step 3: Cross multiply
    378,500x = 824,200 × 824,200
  4. Step 4: Simplify right side
    378,500x = 679,305,640,000
  5. Step 5: Solve for x
    x = 679,305,640,000/378,500
  6. Step 6: Final answer
    x = 1,794,730.89

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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.