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Finding the Third Proportional to 408,456.42 and 629,907.26

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Solution

The third proportional to 408,456.42 and 629,907.26 is: 971,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,456.42 : 629,907.26 = 629,907.26 : x
  2. Step 2: Convert to fraction form
    408,456.42/629,907.26 = 629,907.26/x
  3. Step 3: Cross multiply
    408,456.42x = 629,907.26 × 629,907.26
  4. Step 4: Simplify right side
    408,456.42x = 396,783,153,444.86
  5. Step 5: Solve for x
    x = 396,783,153,444.86/408,456.42
  6. Step 6: Final answer
    x = 971,421.02

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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.