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Finding the Third Proportional to 429,231.75 and 664,321.50

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Solution

The third proportional to 429,231.75 and 664,321.50 is: 1,028,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,231.75 : 664,321.50 = 664,321.50 : x
  2. Step 2: Convert to fraction form
    429,231.75/664,321.50 = 664,321.50/x
  3. Step 3: Cross multiply
    429,231.75x = 664,321.50 × 664,321.50
  4. Step 4: Simplify right side
    429,231.75x = 441,323,055,362.25
  5. Step 5: Solve for x
    x = 441,323,055,362.25/429,231.75
  6. Step 6: Final answer
    x = 1,028,169.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.