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Finding the Third Proportional to 328,936.50 and 720,693

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Solution

The third proportional to 328,936.50 and 720,693 is: 1,579,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,936.50 : 720,693 = 720,693 : x
  2. Step 2: Convert to fraction form
    328,936.50/720,693 = 720,693/x
  3. Step 3: Cross multiply
    328,936.50x = 720,693 × 720,693
  4. Step 4: Simplify right side
    328,936.50x = 519,398,400,249
  5. Step 5: Solve for x
    x = 519,398,400,249/328,936.50
  6. Step 6: Final answer
    x = 1,579,023.31

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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.