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Finding the Third Proportional to 401,852 and 545,767

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Solution

The third proportional to 401,852 and 545,767 is: 741,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,852 : 545,767 = 545,767 : x
  2. Step 2: Convert to fraction form
    401,852/545,767 = 545,767/x
  3. Step 3: Cross multiply
    401,852x = 545,767 × 545,767
  4. Step 4: Simplify right side
    401,852x = 297,861,618,289
  5. Step 5: Solve for x
    x = 297,861,618,289/401,852
  6. Step 6: Final answer
    x = 741,222.19

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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.