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Finding the Third Proportional to 328,012.88 and 720,231.75

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Solution

The third proportional to 328,012.88 and 720,231.75 is: 1,581,443.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,012.88 : 720,231.75 = 720,231.75 : x
  2. Step 2: Convert to fraction form
    328,012.88/720,231.75 = 720,231.75/x
  3. Step 3: Cross multiply
    328,012.88x = 720,231.75 × 720,231.75
  4. Step 4: Simplify right side
    328,012.88x = 518,733,773,708.06
  5. Step 5: Solve for x
    x = 518,733,773,708.06/328,012.88
  6. Step 6: Final answer
    x = 1,581,443.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.