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Finding the Third Proportional to 401,794 and 545,684

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Solution

The third proportional to 401,794 and 545,684 is: 741,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,794 : 545,684 = 545,684 : x
  2. Step 2: Convert to fraction form
    401,794/545,684 = 545,684/x
  3. Step 3: Cross multiply
    401,794x = 545,684 × 545,684
  4. Step 4: Simplify right side
    401,794x = 297,771,027,856
  5. Step 5: Solve for x
    x = 297,771,027,856/401,794
  6. Step 6: Final answer
    x = 741,103.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.