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Finding the Third Proportional to 329,001.75 and 720,839.25

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Solution

The third proportional to 329,001.75 and 720,839.25 is: 1,579,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,001.75 : 720,839.25 = 720,839.25 : x
  2. Step 2: Convert to fraction form
    329,001.75/720,839.25 = 720,839.25/x
  3. Step 3: Cross multiply
    329,001.75x = 720,839.25 × 720,839.25
  4. Step 4: Simplify right side
    329,001.75x = 519,609,224,340.56
  5. Step 5: Solve for x
    x = 519,609,224,340.56/329,001.75
  6. Step 6: Final answer
    x = 1,579,350.94

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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.