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Finding the Third Proportional to 420,472 and 669,378

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Solution

The third proportional to 420,472 and 669,378 is: 1,065,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,472 : 669,378 = 669,378 : x
  2. Step 2: Convert to fraction form
    420,472/669,378 = 669,378/x
  3. Step 3: Cross multiply
    420,472x = 669,378 × 669,378
  4. Step 4: Simplify right side
    420,472x = 448,066,906,884
  5. Step 5: Solve for x
    x = 448,066,906,884/420,472
  6. Step 6: Final answer
    x = 1,065,628.41

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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.