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Finding the Third Proportional to 361,609.31 and 787,507.31

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Solution

The third proportional to 361,609.31 and 787,507.31 is: 1,715,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,609.31 : 787,507.31 = 787,507.31 : x
  2. Step 2: Convert to fraction form
    361,609.31/787,507.31 = 787,507.31/x
  3. Step 3: Cross multiply
    361,609.31x = 787,507.31 × 787,507.31
  4. Step 4: Simplify right side
    361,609.31x = 620,167,767,240.97
  5. Step 5: Solve for x
    x = 620,167,767,240.97/361,609.31
  6. Step 6: Final answer
    x = 1,715,021.56

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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.