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Finding the Third Proportional to 394,890.19 and 635,941.13

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Solution

The third proportional to 394,890.19 and 635,941.13 is: 1,024,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,890.19 : 635,941.13 = 635,941.13 : x
  2. Step 2: Convert to fraction form
    394,890.19/635,941.13 = 635,941.13/x
  3. Step 3: Cross multiply
    394,890.19x = 635,941.13 × 635,941.13
  4. Step 4: Simplify right side
    394,890.19x = 404,421,114,466.27
  5. Step 5: Solve for x
    x = 404,421,114,466.27/394,890.19
  6. Step 6: Final answer
    x = 1,024,135.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.