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Finding the Third Proportional to 420,468 and 669,372

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Solution

The third proportional to 420,468 and 669,372 is: 1,065,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,468 : 669,372 = 669,372 : x
  2. Step 2: Convert to fraction form
    420,468/669,372 = 669,372/x
  3. Step 3: Cross multiply
    420,468x = 669,372 × 669,372
  4. Step 4: Simplify right side
    420,468x = 448,058,874,384
  5. Step 5: Solve for x
    x = 448,058,874,384/420,468
  6. Step 6: Final answer
    x = 1,065,619.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.