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Finding the Third Proportional to 144,821.44 and 315,387.38

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Solution

The third proportional to 144,821.44 and 315,387.38 is: 686,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,821.44 : 315,387.38 = 315,387.38 : x
  2. Step 2: Convert to fraction form
    144,821.44/315,387.38 = 315,387.38/x
  3. Step 3: Cross multiply
    144,821.44x = 315,387.38 × 315,387.38
  4. Step 4: Simplify right side
    144,821.44x = 99,469,196,309.39
  5. Step 5: Solve for x
    x = 99,469,196,309.39/144,821.44
  6. Step 6: Final answer
    x = 686,840.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.