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Finding the Third Proportional to 353,508.05 and 768,491.30

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Solution

The third proportional to 353,508.05 and 768,491.30 is: 1,670,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,508.05 : 768,491.30 = 768,491.30 : x
  2. Step 2: Convert to fraction form
    353,508.05/768,491.30 = 768,491.30/x
  3. Step 3: Cross multiply
    353,508.05x = 768,491.30 × 768,491.30
  4. Step 4: Simplify right side
    353,508.05x = 590,578,873,372.62
  5. Step 5: Solve for x
    x = 590,578,873,372.62/353,508.05
  6. Step 6: Final answer
    x = 1,670,623.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.