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Finding the Third Proportional to 299,346.75 and 642,984.75

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Solution

The third proportional to 299,346.75 and 642,984.75 is: 1,381,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,346.75 : 642,984.75 = 642,984.75 : x
  2. Step 2: Convert to fraction form
    299,346.75/642,984.75 = 642,984.75/x
  3. Step 3: Cross multiply
    299,346.75x = 642,984.75 × 642,984.75
  4. Step 4: Simplify right side
    299,346.75x = 413,429,388,732.56
  5. Step 5: Solve for x
    x = 413,429,388,732.56/299,346.75
  6. Step 6: Final answer
    x = 1,381,105.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.