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Finding the Third Proportional to 401,787 and 545,676

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Solution

The third proportional to 401,787 and 545,676 is: 741,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,787 : 545,676 = 545,676 : x
  2. Step 2: Convert to fraction form
    401,787/545,676 = 545,676/x
  3. Step 3: Cross multiply
    401,787x = 545,676 × 545,676
  4. Step 4: Simplify right side
    401,787x = 297,762,296,976
  5. Step 5: Solve for x
    x = 297,762,296,976/401,787
  6. Step 6: Final answer
    x = 741,094.90

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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.