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Finding the Third Proportional to 378,477 and 826,613

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Solution

The third proportional to 378,477 and 826,613 is: 1,805,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,477 : 826,613 = 826,613 : x
  2. Step 2: Convert to fraction form
    378,477/826,613 = 826,613/x
  3. Step 3: Cross multiply
    378,477x = 826,613 × 826,613
  4. Step 4: Simplify right side
    378,477x = 683,289,051,769
  5. Step 5: Solve for x
    x = 683,289,051,769/378,477
  6. Step 6: Final answer
    x = 1,805,364.80

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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.