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Finding the Third Proportional to 378,888.75 and 829,125

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Solution

The third proportional to 378,888.75 and 829,125 is: 1,814,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,888.75 : 829,125 = 829,125 : x
  2. Step 2: Convert to fraction form
    378,888.75/829,125 = 829,125/x
  3. Step 3: Cross multiply
    378,888.75x = 829,125 × 829,125
  4. Step 4: Simplify right side
    378,888.75x = 687,448,265,625
  5. Step 5: Solve for x
    x = 687,448,265,625/378,888.75
  6. Step 6: Final answer
    x = 1,814,380.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.