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Finding the Third Proportional to 378,478 and 826,615

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Solution

The third proportional to 378,478 and 826,615 is: 1,805,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,478 : 826,615 = 826,615 : x
  2. Step 2: Convert to fraction form
    378,478/826,615 = 826,615/x
  3. Step 3: Cross multiply
    378,478x = 826,615 × 826,615
  4. Step 4: Simplify right side
    378,478x = 683,292,358,225
  5. Step 5: Solve for x
    x = 683,292,358,225/378,478
  6. Step 6: Final answer
    x = 1,805,368.76

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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.