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Finding the Third Proportional to 301,689 and 663,642

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Solution

The third proportional to 301,689 and 663,642 is: 1,459,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,689 : 663,642 = 663,642 : x
  2. Step 2: Convert to fraction form
    301,689/663,642 = 663,642/x
  3. Step 3: Cross multiply
    301,689x = 663,642 × 663,642
  4. Step 4: Simplify right side
    301,689x = 440,420,704,164
  5. Step 5: Solve for x
    x = 440,420,704,164/301,689
  6. Step 6: Final answer
    x = 1,459,850.06

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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.