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Finding the Third Proportional to 330,012 and 677,520

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Solution

The third proportional to 330,012 and 677,520 is: 1,390,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,012 : 677,520 = 677,520 : x
  2. Step 2: Convert to fraction form
    330,012/677,520 = 677,520/x
  3. Step 3: Cross multiply
    330,012x = 677,520 × 677,520
  4. Step 4: Simplify right side
    330,012x = 459,033,350,400
  5. Step 5: Solve for x
    x = 459,033,350,400/330,012
  6. Step 6: Final answer
    x = 1,390,959.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.