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Finding the Third Proportional to 300,234 and 659,518

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Solution

The third proportional to 300,234 and 659,518 is: 1,448,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,234 : 659,518 = 659,518 : x
  2. Step 2: Convert to fraction form
    300,234/659,518 = 659,518/x
  3. Step 3: Cross multiply
    300,234x = 659,518 × 659,518
  4. Step 4: Simplify right side
    300,234x = 434,963,992,324
  5. Step 5: Solve for x
    x = 434,963,992,324/300,234
  6. Step 6: Final answer
    x = 1,448,749.95

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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.