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Finding the Third Proportional to 420,736 and 905,624

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Solution

The third proportional to 420,736 and 905,624 is: 1,949,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,736 : 905,624 = 905,624 : x
  2. Step 2: Convert to fraction form
    420,736/905,624 = 905,624/x
  3. Step 3: Cross multiply
    420,736x = 905,624 × 905,624
  4. Step 4: Simplify right side
    420,736x = 820,154,829,376
  5. Step 5: Solve for x
    x = 820,154,829,376/420,736
  6. Step 6: Final answer
    x = 1,949,333.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.