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Finding the Third Proportional to 301,686 and 663,636

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Solution

The third proportional to 301,686 and 663,636 is: 1,459,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,686 : 663,636 = 663,636 : x
  2. Step 2: Convert to fraction form
    301,686/663,636 = 663,636/x
  3. Step 3: Cross multiply
    301,686x = 663,636 × 663,636
  4. Step 4: Simplify right side
    301,686x = 440,412,740,496
  5. Step 5: Solve for x
    x = 440,412,740,496/301,686
  6. Step 6: Final answer
    x = 1,459,838.18

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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.