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Finding the Third Proportional to 297,120.38 and 640,441.13

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Solution

The third proportional to 297,120.38 and 640,441.13 is: 1,380,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,120.38 : 640,441.13 = 640,441.13 : x
  2. Step 2: Convert to fraction form
    297,120.38/640,441.13 = 640,441.13/x
  3. Step 3: Cross multiply
    297,120.38x = 640,441.13 × 640,441.13
  4. Step 4: Simplify right side
    297,120.38x = 410,164,834,591.27
  5. Step 5: Solve for x
    x = 410,164,834,591.27/297,120.38
  6. Step 6: Final answer
    x = 1,380,466.87

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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.