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Finding the Third Proportional to 408,057.75 and 643,388.06

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Solution

The third proportional to 408,057.75 and 643,388.06 is: 1,014,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,057.75 : 643,388.06 = 643,388.06 : x
  2. Step 2: Convert to fraction form
    408,057.75/643,388.06 = 643,388.06/x
  3. Step 3: Cross multiply
    408,057.75x = 643,388.06 × 643,388.06
  4. Step 4: Simplify right side
    408,057.75x = 413,948,198,967.50
  5. Step 5: Solve for x
    x = 413,948,198,967.50/408,057.75
  6. Step 6: Final answer
    x = 1,014,435.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.