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Finding the Third Proportional to 438,043.78 and 640,435.36

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Solution

The third proportional to 438,043.78 and 640,435.36 is: 936,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,043.78 : 640,435.36 = 640,435.36 : x
  2. Step 2: Convert to fraction form
    438,043.78/640,435.36 = 640,435.36/x
  3. Step 3: Cross multiply
    438,043.78x = 640,435.36 × 640,435.36
  4. Step 4: Simplify right side
    438,043.78x = 410,157,449,537.79
  5. Step 5: Solve for x
    x = 410,157,449,537.79/438,043.78
  6. Step 6: Final answer
    x = 936,338.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.