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Finding the Third Proportional to 315,714 and 660,612

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Solution

The third proportional to 315,714 and 660,612 is: 1,382,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,714 : 660,612 = 660,612 : x
  2. Step 2: Convert to fraction form
    315,714/660,612 = 660,612/x
  3. Step 3: Cross multiply
    315,714x = 660,612 × 660,612
  4. Step 4: Simplify right side
    315,714x = 436,408,214,544
  5. Step 5: Solve for x
    x = 436,408,214,544/315,714
  6. Step 6: Final answer
    x = 1,382,289.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.