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Finding the Third Proportional to 120,394.69 and 284,721.75

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Solution

The third proportional to 120,394.69 and 284,721.75 is: 673,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,394.69 : 284,721.75 = 284,721.75 : x
  2. Step 2: Convert to fraction form
    120,394.69/284,721.75 = 284,721.75/x
  3. Step 3: Cross multiply
    120,394.69x = 284,721.75 × 284,721.75
  4. Step 4: Simplify right side
    120,394.69x = 81,066,474,923.06
  5. Step 5: Solve for x
    x = 81,066,474,923.06/120,394.69
  6. Step 6: Final answer
    x = 673,339.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.