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Finding the Third Proportional to 410,169.38 and 641,968.88

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Solution

The third proportional to 410,169.38 and 641,968.88 is: 1,004,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,169.38 : 641,968.88 = 641,968.88 : x
  2. Step 2: Convert to fraction form
    410,169.38/641,968.88 = 641,968.88/x
  3. Step 3: Cross multiply
    410,169.38x = 641,968.88 × 641,968.88
  4. Step 4: Simplify right side
    410,169.38x = 412,124,036,468.77
  5. Step 5: Solve for x
    x = 412,124,036,468.77/410,169.38
  6. Step 6: Final answer
    x = 1,004,765.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.