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Finding the Third Proportional to 321,035.50 and 480,504.75

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Solution

The third proportional to 321,035.50 and 480,504.75 is: 719,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,035.50 : 480,504.75 = 480,504.75 : x
  2. Step 2: Convert to fraction form
    321,035.50/480,504.75 = 480,504.75/x
  3. Step 3: Cross multiply
    321,035.50x = 480,504.75 × 480,504.75
  4. Step 4: Simplify right side
    321,035.50x = 230,884,814,772.56
  5. Step 5: Solve for x
    x = 230,884,814,772.56/321,035.50
  6. Step 6: Final answer
    x = 719,187.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.