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Finding the Third Proportional to 304,624 and 669,980

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Solution

The third proportional to 304,624 and 669,980 is: 1,473,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,624 : 669,980 = 669,980 : x
  2. Step 2: Convert to fraction form
    304,624/669,980 = 669,980/x
  3. Step 3: Cross multiply
    304,624x = 669,980 × 669,980
  4. Step 4: Simplify right side
    304,624x = 448,873,200,400
  5. Step 5: Solve for x
    x = 448,873,200,400/304,624
  6. Step 6: Final answer
    x = 1,473,531.96

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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.