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Finding the Third Proportional to 378,530 and 824,260

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Solution

The third proportional to 378,530 and 824,260 is: 1,794,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,530 : 824,260 = 824,260 : x
  2. Step 2: Convert to fraction form
    378,530/824,260 = 824,260/x
  3. Step 3: Cross multiply
    378,530x = 824,260 × 824,260
  4. Step 4: Simplify right side
    378,530x = 679,404,547,600
  5. Step 5: Solve for x
    x = 679,404,547,600/378,530
  6. Step 6: Final answer
    x = 1,794,849.94

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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.