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Finding the Third Proportional to 320,112 and 669,816

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Solution

The third proportional to 320,112 and 669,816 is: 1,401,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,112 : 669,816 = 669,816 : x
  2. Step 2: Convert to fraction form
    320,112/669,816 = 669,816/x
  3. Step 3: Cross multiply
    320,112x = 669,816 × 669,816
  4. Step 4: Simplify right side
    320,112x = 448,653,473,856
  5. Step 5: Solve for x
    x = 448,653,473,856/320,112
  6. Step 6: Final answer
    x = 1,401,551.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.