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Finding the Third Proportional to 300,700 and 660,920

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Solution

The third proportional to 300,700 and 660,920 is: 1,452,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,700 : 660,920 = 660,920 : x
  2. Step 2: Convert to fraction form
    300,700/660,920 = 660,920/x
  3. Step 3: Cross multiply
    300,700x = 660,920 × 660,920
  4. Step 4: Simplify right side
    300,700x = 436,815,246,400
  5. Step 5: Solve for x
    x = 436,815,246,400/300,700
  6. Step 6: Final answer
    x = 1,452,661.28

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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.