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Finding the Third Proportional to 320,105 and 669,784

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Solution

The third proportional to 320,105 and 669,784 is: 1,401,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,105 : 669,784 = 669,784 : x
  2. Step 2: Convert to fraction form
    320,105/669,784 = 669,784/x
  3. Step 3: Cross multiply
    320,105x = 669,784 × 669,784
  4. Step 4: Simplify right side
    320,105x = 448,610,606,656
  5. Step 5: Solve for x
    x = 448,610,606,656/320,105
  6. Step 6: Final answer
    x = 1,401,448.30

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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.