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Finding the Third Proportional to 401,922 and 545,877

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Solution

The third proportional to 401,922 and 545,877 is: 741,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,922 : 545,877 = 545,877 : x
  2. Step 2: Convert to fraction form
    401,922/545,877 = 545,877/x
  3. Step 3: Cross multiply
    401,922x = 545,877 × 545,877
  4. Step 4: Simplify right side
    401,922x = 297,981,699,129
  5. Step 5: Solve for x
    x = 297,981,699,129/401,922
  6. Step 6: Final answer
    x = 741,391.86

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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.