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Finding the Third Proportional to 344,197.41 and 483,849.98

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Solution

The third proportional to 344,197.41 and 483,849.98 is: 680,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,197.41 : 483,849.98 = 483,849.98 : x
  2. Step 2: Convert to fraction form
    344,197.41/483,849.98 = 483,849.98/x
  3. Step 3: Cross multiply
    344,197.41x = 483,849.98 × 483,849.98
  4. Step 4: Simplify right side
    344,197.41x = 234,110,807,379.69
  5. Step 5: Solve for x
    x = 234,110,807,379.69/344,197.41
  6. Step 6: Final answer
    x = 680,164.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.