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Finding the Third Proportional to 301,680 and 663,624

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Solution

The third proportional to 301,680 and 663,624 is: 1,459,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,680 : 663,624 = 663,624 : x
  2. Step 2: Convert to fraction form
    301,680/663,624 = 663,624/x
  3. Step 3: Cross multiply
    301,680x = 663,624 × 663,624
  4. Step 4: Simplify right side
    301,680x = 440,396,813,376
  5. Step 5: Solve for x
    x = 440,396,813,376/301,680
  6. Step 6: Final answer
    x = 1,459,814.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.