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Finding the Third Proportional to 415,255.50 and 640,408.50

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Solution

The third proportional to 415,255.50 and 640,408.50 is: 987,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,255.50 : 640,408.50 = 640,408.50 : x
  2. Step 2: Convert to fraction form
    415,255.50/640,408.50 = 640,408.50/x
  3. Step 3: Cross multiply
    415,255.50x = 640,408.50 × 640,408.50
  4. Step 4: Simplify right side
    415,255.50x = 410,123,046,872.25
  5. Step 5: Solve for x
    x = 410,123,046,872.25/415,255.50
  6. Step 6: Final answer
    x = 987,640.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.