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Finding the Third Proportional to 431,421.75 and 940,709.25

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Solution

The third proportional to 431,421.75 and 940,709.25 is: 2,051,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,421.75 : 940,709.25 = 940,709.25 : x
  2. Step 2: Convert to fraction form
    431,421.75/940,709.25 = 940,709.25/x
  3. Step 3: Cross multiply
    431,421.75x = 940,709.25 × 940,709.25
  4. Step 4: Simplify right side
    431,421.75x = 884,933,893,035.56
  5. Step 5: Solve for x
    x = 884,933,893,035.56/431,421.75
  6. Step 6: Final answer
    x = 2,051,203.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.