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Finding the Third Proportional to 401,918 and 545,817

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Solution

The third proportional to 401,918 and 545,817 is: 741,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,918 : 545,817 = 545,817 : x
  2. Step 2: Convert to fraction form
    401,918/545,817 = 545,817/x
  3. Step 3: Cross multiply
    401,918x = 545,817 × 545,817
  4. Step 4: Simplify right side
    401,918x = 297,916,197,489
  5. Step 5: Solve for x
    x = 297,916,197,489/401,918
  6. Step 6: Final answer
    x = 741,236.27

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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.