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Finding the Third Proportional to 378,498 and 824,196

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Solution

The third proportional to 378,498 and 824,196 is: 1,794,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,498 : 824,196 = 824,196 : x
  2. Step 2: Convert to fraction form
    378,498/824,196 = 824,196/x
  3. Step 3: Cross multiply
    378,498x = 824,196 × 824,196
  4. Step 4: Simplify right side
    378,498x = 679,299,046,416
  5. Step 5: Solve for x
    x = 679,299,046,416/378,498
  6. Step 6: Final answer
    x = 1,794,722.95

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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.