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Finding the Third Proportional to 300,501.75 and 647,658.75

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Solution

The third proportional to 300,501.75 and 647,658.75 is: 1,395,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,501.75 : 647,658.75 = 647,658.75 : x
  2. Step 2: Convert to fraction form
    300,501.75/647,658.75 = 647,658.75/x
  3. Step 3: Cross multiply
    300,501.75x = 647,658.75 × 647,658.75
  4. Step 4: Simplify right side
    300,501.75x = 419,461,856,451.56
  5. Step 5: Solve for x
    x = 419,461,856,451.56/300,501.75
  6. Step 6: Final answer
    x = 1,395,871.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.