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Finding the Third Proportional to 401,802 and 545,697

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Solution

The third proportional to 401,802 and 545,697 is: 741,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,802 : 545,697 = 545,697 : x
  2. Step 2: Convert to fraction form
    401,802/545,697 = 545,697/x
  3. Step 3: Cross multiply
    401,802x = 545,697 × 545,697
  4. Step 4: Simplify right side
    401,802x = 297,785,215,809
  5. Step 5: Solve for x
    x = 297,785,215,809/401,802
  6. Step 6: Final answer
    x = 741,124.27

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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.